34957580032 has 72 divisors (see below), whose sum is σ = 75161640960. Its totient is φ = 16179440640.

The previous prime is 34957579957. The next prime is 34957580033. The reversal of 34957580032 is 23008575943.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34957580033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86769 + ... + 278287.

It is an arithmetic number, because the mean of its divisors is an integer number (1043911680).

Almost surely, 2^34957580032 is an apocalyptic number.

34957580032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34957580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37580820480).

34957580032 is an abundant number, since it is smaller than the sum of its proper divisors (40204060928).

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

34957580032 is a wasteful number, since it uses less digits than its factorization.

34957580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191589 (or 191575 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 34957580032 in words is "thirty-four billion, nine hundred fifty-seven million, five hundred eighty thousand, thirty-two".