34903633987264 has 56 divisors (see below), whose sum is σ = 79276208902688. Its totient is φ = 14936069744640.

The previous prime is 34903633987253. The next prime is 34903633987273. The reversal of 34903633987264 is 46278933630943.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 34903633987264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58637229 + ... + 59229484.

It is an arithmetic number, because the mean of its divisors is an integer number (1415646587548).

Almost surely, 2^{34903633987264} is an apocalyptic number.

It is an amenable number.

34903633987264 is an abundant number, since it is smaller than the sum of its proper divisors (44372574915424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34903633987264 is a wasteful number, since it uses less digits than its factorization.

34903633987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117867393 (or 117867383 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 67.

The spelling of 34903633987264 in words is "thirty-four trillion, nine hundred three billion, six hundred thirty-three million, nine hundred eighty-seven thousand, two hundred sixty-four".