34694792832 has 256 divisors, whose sum is σ = 111268454400. Its totient is φ = 9357078528.

The previous prime is 34694792809. The next prime is 34694792833. The reversal of 34694792832 is 23829749643.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (34694792833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16188753 + ... + 16190895.

It is an arithmetic number, because the mean of its divisors is an integer number (434642400).

Almost surely, 2^34694792832 is an apocalyptic number.

34694792832 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 34694792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55634227200).

34694792832 is an abundant number, since it is smaller than the sum of its proper divisors (76573661568).

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

34694792832 is a wasteful number, since it uses less digits than its factorization.

34694792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2491 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 34694792832 in words is "thirty-four billion, six hundred ninety-four million, seven hundred ninety-two thousand, eight hundred thirty-two".