34004314342233 has 48 divisors (see below), whose sum is σ = 49605610070016. Its totient is φ = 22445041563360.

The previous prime is 34004314342211. The next prime is 34004314342253. The reversal of 34004314342233 is 33224341340043.

34004314342233 is a `hidden beast` number, since 3 + 40 + 0 + 43 + 1 + 4 + 342 + 233 = 666.

It is not a de Polignac number, because 34004314342233 - 2¹³ = 34004314334041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34004314342253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922833216 + ... + 922870062.

It is an arithmetic number, because the mean of its divisors is an integer number (1033450209792).

Almost surely, 2^{34004314342233} is an apocalyptic number.

It is an amenable number.

34004314342233 is a deficient number, since it is larger than the sum of its proper divisors (15601295727783).

34004314342233 is a wasteful number, since it uses less digits than its factorization.

34004314342233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754 (or 38751 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34004314342233 its reverse (33224341340043), we get a palindrome (67228655682276).

The spelling of 34004314342233 in words is "thirty-four trillion, four billion, three hundred fourteen million, three hundred forty-two thousand, two hundred thirty-three".