Compared to 36h, 32h will save 25 grams per wheel, and are tiny weeny bit more aerodynamic, but I think it's mad when you've got the choice not to choose 36h for a rear dished wheel for non race use. You might never need the 4 extra spokes, but think of it as insurance. A rear dished wheel with a typical rim doesn't have a great deal of strength, so it makes sense to have all the help you can get.
More spokes = more strength without needing a stiffer rim or higher tension, less fatigue, and possibly less trouble if a spoke does break.
32h is fine for front wheels for almost everyone. 36h front is convenient though if buying a pair of hubs, or if you want one spare rim to suit both wheels.
The triple butted DT spokes are called Alpine III. I would have recommened them (for rear drive side) until Friday when I broke one. Actually that's not too bad considering I've been using them on three bikes for quite a few years with no problems until now.