How many talk radio programs exist in the U.S. on (a) free over the
air radio, (b) satellite radio and (c) Internet radio?

There are a few big names such as Rush Limbaugh, Michael Savage, Neil
Bortz, Rusty Humphries, wwww.clarkhoward.com that most people agree
are talk radio. Then there are the morning shows on from 6 AM to 9 AM
Eastern time. I don't like any of the latter, and don't consider them
talk radio, but likely most people would include some or all of the
morning shows. Other programs play music between 15 minutes and 40
minutes per hour, with conciderable small talk in between. Likely most
people do not consider these talk radio. You need to tell us where you
draw the line. The big names talk mostly Federal politics, but others
are variety, or specialed in stocks or investments, local events,
National sports, home repairs, charities, a particular religious
denomination, current events, the paranormal, weather and many other
specialties and groups of specialties, Do you wish to include some or
most of these as talk radio?

This might be of some help to you:

"Today, there are a reported 1,308 talk radio shows accessible to the
American public on a regular basis, according to the M Street Journal,
a trade publication."

http://newmedia.cgu.edu/nardi/projects/a2/anitpage.htm

To clarify:

"talk radio" is defined in my question as a radio program that is
mostly or all talk where playing music is not a part of the program. 
So Howard Stern is talk radio while the morning DJ is not (since they
play music).

I'm also interested, for the most part, in nationally syndicated talk
radio shows.  I realize there are countless local radio programs but
for this question I'd like to get a count of the ones that are
syndicated nationally.