I only know of the series going up to 1N4007, which is what I always stock at work. I just looked up the 09 and it is an ultra high speed diode. The 1N400Xs are just general purpose, 1A continuous forward current rectifiers.
1N4001 = 50PRV, 02=100, 03=200, 04=400, 05=600, 06=800, 07=1000.
Again, I only re-stock 1N4007s in our lab but I design and repair things that operate in a traction power environment.
If you need 3 amp diodes, just bump up to the 1N5400 series. I only stock the 1N5408s, which are the 1000 PRVs. The number is one higher because the 05s are 500 volt diodes. The leads are thicker on the 3 amp diodes so you might not be able to substitute a 1N5408 for a 1N4001.

I only mention bumping up in current or PRV because I've encountered many under-designed products. Sometimes things just break but other times, you see failure patterns and discolored circuit boards. What I get in with a shorted 1N4004 on a discolored board, might go back out with a 1N5408 stood off from the pcb on SPC Teflon tubing.

Joe