34013629752 has 32 divisors (see below), whose sum is σ = 85041686400. Its totient is φ = 11336861664.

The previous prime is 34013629739. The next prime is 34013629789. The reversal of 34013629752 is 25792631043.

It is a super-2 number, since 2×34013629752² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239853 + ... + 354339.

It is an arithmetic number, because the mean of its divisors is an integer number (2657552700).

Almost surely, 2^34013629752 is an apocalyptic number.

It is an amenable number.

34013629752 is an abundant number, since it is smaller than the sum of its proper divisors (51028056648).

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

34013629752 is a wasteful number, since it uses less digits than its factorization.

34013629752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126875 (or 126871 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 34013629752 in words is "thirty-four billion, thirteen million, six hundred twenty-nine thousand, seven hundred fifty-two".