diff --git a/sql/core/src/main/scala/org/apache/spark/sql/execution/SparkStrategies.scala b/sql/core/src/main/scala/org/apache/spark/sql/execution/SparkStrategies.scala
index f836debcbafd..689d1eb62ffa 100644
--- a/sql/core/src/main/scala/org/apache/spark/sql/execution/SparkStrategies.scala
+++ b/sql/core/src/main/scala/org/apache/spark/sql/execution/SparkStrategies.scala
@@ -517,7 +517,8 @@ abstract class SparkStrategies extends QueryPlanner[SparkPlan] {
 
         val (functionsWithDistinct, functionsWithoutDistinct) =
           aggregateExpressions.partition(_.isDistinct)
-        if (functionsWithDistinct.map(_.aggregateFunction.children.toSet).distinct.length > 1) {
+        if (functionsWithDistinct.map(
+          _.aggregateFunction.children.filterNot(_.foldable).toSet).distinct.length > 1) {
           // This is a sanity check. We should not reach here when we have multiple distinct
           // column sets. Our `RewriteDistinctAggregates` should take care this case.
           sys.error("You hit a query analyzer bug. Please report your query to " +
@@ -548,7 +549,8 @@ abstract class SparkStrategies extends QueryPlanner[SparkPlan] {
             // to be [COUNT(DISTINCT foo), MAX(DISTINCT foo)], but
             // [COUNT(DISTINCT bar), COUNT(DISTINCT foo)] is disallowed because those two distinct
             // aggregates have different column expressions.
-            val distinctExpressions = functionsWithDistinct.head.aggregateFunction.children
+            val distinctExpressions =
+              functionsWithDistinct.head.aggregateFunction.children.filterNot(_.foldable)
             val normalizedNamedDistinctExpressions = distinctExpressions.map { e =>
               // Ideally this should be done in `NormalizeFloatingNumbers`, but we do it here
               // because `distinctExpressions` is not extracted during logical phase.
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/DataFrameSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/DataFrameSuite.scala
index 7869005ea2de..85cbe458aebd 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/DataFrameSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/DataFrameSuite.scala
@@ -2467,6 +2467,10 @@ class DataFrameSuite extends QueryTest
     val df = l.join(r, $"col2" === $"col4", "LeftOuter")
     checkAnswer(df, Row("2", "2"))
   }
+
+  test("SPARK-32761: aggregating multiple distinct CONSTANT columns") {
+     checkAnswer(sql("select count(distinct 2), count(distinct 2,3)"), Row(1, 1))
+  }
 }
 
 case class GroupByKey(a: Int, b: Int)