How to obtain a description of a Java exception in C++ when using JNI?

I would like to determine what exception has been thrown by a Java function when calling that function from C++ code using JNI. I have the following code that catches the Java exception:

JNIEnv * pEnv; // assume this is properly initialized
jclass javaClass; // ditto
jmethodID javaFunction; // ditto
pEnv->CallStaticVoidMethod(javaClass, javaFunction);
jthrowable exc;
if(exc = pEnv->ExceptionOccurred())
{
    pEnv->ExceptionClear();
}

I do not know how to obtain descriptive information about the Java exception within this C++ code. Can somebody help?