From my experience, 64 jumps are better than 32 by about 2%, so better use 64 when possible. For symmetry methods you need at least 256 jumps.
Your idea is to have 2^32 jumps, right? It will take 240GB of RAM, so not suitable for GPUs. The end, sorry.
Thank's for your answer.I have other question:
I have studied bitcrack and kangaroo (From Jean-Luc Pons) in detail. In the Pollard method with only 2 heards, Pollard recommends using a jump formula of powers of 2. When I tried to understand the Van-Oorschot method of parallelization, I realized that if you double the amount of Kangaroos, you must double the jump size mean. This results in huge jumps for a big range and a big number of kangaroos if you use powers of 2. Do you recommend better selecting the jump size using random K's in a given interval?
Thanks