Rugers, until they started making centerfire automatic pistols, had names, not numbers. Your Super Blackhawk is just that - a Super Blackhawk. Your 357 is a double action, and is either a GP100 or an SP101. If you had bought a single action, it would either be a Blackhawk or a Vaquero. Aside from those two double action revolvers, the only pistols they make with model numbers are the aforementioned centerfire automatics.
And your gun has a 10 1/2 inch barrel. People that don't know better normally measure to the front of the frame (spot A), but revolver barrels are screwed into the frame, and are actually measured to just in front of the cylinder (spot B )
If you absolutely must know the model number of your gun, go here http://www.ruger.com/Firearms/FASubT...e%20Action
and click on Super Blackhawk. It will give you the number that nobody uses, except Ruger, in house.