34913892832 has 96 divisors (see below), whose sum is σ = 84659807232. Its totient is φ = 13802171904.

The previous prime is 34913892763. The next prime is 34913892847. The reversal of 34913892832 is 23829831943.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 34913892832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5083833 + ... + 5090695.

It is an arithmetic number, because the mean of its divisors is an integer number (881872992).

Almost surely, 2^34913892832 is an apocalyptic number.

34913892832 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 34913892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42329903616).

34913892832 is an abundant number, since it is smaller than the sum of its proper divisors (49745914400).

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

34913892832 is a wasteful number, since it uses less digits than its factorization.

34913892832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8632 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The spelling of 34913892832 in words is "thirty-four billion, nine hundred thirteen million, eight hundred ninety-two thousand, eight hundred thirty-two".