I would recommend you DO NOT draw more than 50% of your battery if you use it periodically, 25% if all day everyday.
So work on 30 to 60 AH usable and divide the pump's rated amps by this, that will give you run time. Then recharge the battery to full (smart charger) before reuse.
As a guide (depending on battery quality and approximate ratio)
Draw 25% will give 2,000 cycles
Draw 50% will give you 1,000 cycles
Draw 60% will give about 800+ cycles
A cycle being - Start with FULL - Discharge - recharge back to full.
This is why a lot of people get 3 years out of a battery and others (me included) get 10 years before it needs replacing. I Googled a 3,500GPH pump @ about 12 amps, so 5 hours max.
If you have solar connected in ideal conditions to balance load v charge you would need about 200W, or if only 100W then your net use is likely 6-7 AH which will extend your run time..