34922804976 has 90 divisors (see below), whose sum is σ = 100924186272. Its totient is φ = 11261393280.

The previous prime is 34922804899. The next prime is 34922804993. The reversal of 34922804976 is 67940822943.

34922804976 is a `hidden beast` number, since 3 + 492 + 2 + 80 + 4 + 9 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12484410 + ... + 12487206.

Almost surely, 2^34922804976 is an apocalyptic number.

34922804976 is a gapful number since it is divisible by the number (36) 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 34922804976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50462093136).

34922804976 is an abundant number, since it is smaller than the sum of its proper divisors (66001381296).

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

34922804976 is an equidigital number, since it uses as much as digits as its factorization.

34922804976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34922804976 in words is "thirty-four billion, nine hundred twenty-two million, eight hundred four thousand, nine hundred seventy-six".