Hey budolskie,
4 is best imo on 3x3 and a system like this. I ran 6 in 3x4 before this closet and it got to full every time. I now got 6 on 4x4 and still get it full easily. I tried 9, but I like to veg at least a bit to get thick stems but it goes so fast on hydro, also during transition that goes on, so 9 was too much.
45ltr should do nicely, that's about 3 gallon per plant, which is close, but enough. Keep in mind you don't fill the reservoir entirely. You will need a minimum of roughly 2.5gal per plant, so you need to be able to fill it with at least 38liter, and still have some height left in the reservoir for the return waterfall.
Mine is only a little larger than 45ltr, for 6 plants, but I have a small sort of dam at the end of my tubes (to keep flow level up to bottom of net cups), so there's more in my tubes than regular NFT.
Most important thing is being able to keep the temperature down (18-20C). Unless you plan on getting a chiller (I use one) I suggest building the reservoir into a sort of double floor in the closet, so it doesn't get warm from the light (although with 400w that's less of a prob than with 600w). Can save a lot of problems later on. Also make sure it's all lightproof, so no light gets in the hydro system (rez and tubes). Start with just simple nutes first round, no (or very little) additives, just some hydro AB or GHE floraduo for example (I highly recommend H&G Aqua Flakes AB).
Let me know when you get that thread up and I'll take a look, but if you have more questions you can post them here or in the ongoing 'conversation' as well.