You could get the current name for the thread by doing:
Thread.getCurrentThread().getName();
But it depends on what information you need to retrieve?
Is it simply to tell you what thread is performing which task? In which case when you create the threads you can use the constructor with the additional String parameter and give it a meaningful name which you can then retrieve as above.
If this is not your intended purpose please let me know what it is and I will try to elaborate for you.