file too large error message but why?

Have a new 32Gb PNY thumb drive. I copied a 4gb TS video file to it and all was well. I deleted that file and I tried copying a 9.3GB file.
I get a message that the file is too large.
I have re-formatted the thumb drive from FAT32 to NTFS. The file is now copying to it but my 64-bit Windows 7 machine says it cannot read the file.
If I reformat again to FAT32 it will only copy the smaller TD files.

Ideas?

Russ