Probably those trees are composed of some many polygons that it needs too much memory.
The main advantage of running 64-bit programs is that you can use more than 4 GB of memory.
Actually, on a 32-bit system with 4 GB of memory, any program can use only about 2 GB, the rest is taken by other programs and the system.
With 64-bit systems you can have as much memory as you want and programs will be able to use almost all of it.
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