34040433364 has 48 divisors (see below), whose sum is σ = 71682710400. Its totient is φ = 13817333376.

The previous prime is 34040433359. The next prime is 34040433397. The reversal of 34040433364 is 46333404043.

It is a super-3 number, since 3×34040433364³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3202122 + ... + 3212734.

It is an arithmetic number, because the mean of its divisors is an integer number (1493389800).

Almost surely, 2^34040433364 is an apocalyptic number.

It is an amenable number.

34040433364 is an abundant number, since it is smaller than the sum of its proper divisors (37642277036).

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

34040433364 is a wasteful number, since it uses less digits than its factorization.

34040433364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672 (or 16670 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

The spelling of 34040433364 in words is "thirty-four billion, forty million, four hundred thirty-three thousand, three hundred sixty-four".