diff --git a/README.rst b/README.rst
index 45acc66..524472f 100644
--- a/README.rst
+++ b/README.rst
@@ -349,6 +349,12 @@ MIT
 Change Log
 ----------
 
+Unreleased
+~~~~~~~~~~
+
+* B036: Fix crash on `raise` statements raising something other than
+  a bare name (#450)
+
 24.1.15
 ~~~~~~~
 
diff --git a/bugbear.py b/bugbear.py
index 988e995..8f47666 100644
--- a/bugbear.py
+++ b/bugbear.py
@@ -341,7 +341,9 @@ def visit_Raise(self, node: ast.Raise):
         """If we find a corresponding `raise` or `raise e` where e was from
         `except BaseException as e:` then we mark re_raised as True and can
         stop scanning."""
-        if node.exc is None or node.exc.id == self.root.name:
+        if node.exc is None or (
+            isinstance(node.exc, ast.Name) and node.exc.id == self.root.name
+        ):
             self._re_raised = True
             return
         return super().generic_visit(node)
diff --git a/tests/b036.py b/tests/b036.py
index 67f404d..933ee8f 100644
--- a/tests/b036.py
+++ b/tests/b036.py
@@ -52,3 +52,8 @@
         pass
     except ValueError:
         raise  # bad - raising within a nested try/except, but not within the main one
+
+try:
+    pass
+except BaseException:
+    raise a.b from None  # bad (regression test for #449)
diff --git a/tests/test_bugbear.py b/tests/test_bugbear.py
index 88e523c..0bac96b 100644
--- a/tests/test_bugbear.py
+++ b/tests/test_bugbear.py
@@ -618,6 +618,7 @@ def test_b036(self) -> None:
             B036(20, 0),
             B036(33, 0),
             B036(50, 0),
+            B036(58, 0),
         )
         self.assertEqual(errors, expected)