I'm encountering a problem. I want to build a private Ethereum blockchain. So I create a file, named genesis.json:

{
  "alloc": {},
  "coinbase": "0x0000000000000000000000000000000000000000",
  "difficulty": "0x2000",
  "extraData": "Inplus Genesis Block",
  "gasLimit": "0xffffffff",
  "nonce": "0x0000000000000042",
  "mixhash": "0x0000000000000000000000000000000000000000000000000000000000000000",
  "parentHash": "0x0000000000000000000000000000000000000000000000000000000000000000",
  "timestamp": "0x00"
}

Note that gas limit is set the max value 0xffffffff, equals with 4294967295 in dec. But when I deploy a huge contract, which needs about 3864853195 gas, I get an error that Exceeds block gas limit undefined. It makes me strange that 3864853195 is absolutely less than 4294967295, but why I get this error.

Please tell me how to solve it. Thank you.