34792312320 has 560 divisors, whose sum is σ = 126984809952. Its totient is φ = 9137111040.

The previous prime is 34792312309. The next prime is 34792312351. The reversal of 34792312320 is 2321329743.

34792312320 is a `hidden beast` number, since 34 + 79 + 231 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 192222630 + ... + 192222810.

Almost surely, 2^34792312320 is an apocalyptic number.

34792312320 is a gapful number since it is divisible by the number (30) 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 34792312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63492404976).

34792312320 is an abundant number, since it is smaller than the sum of its proper divisors (92192497632).

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

34792312320 is an equidigital number, since it uses as much as digits as its factorization.

34792312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 34792312320 in words is "thirty-four billion, seven hundred ninety-two million, three hundred twelve thousand, three hundred twenty".