634876032 has 256 divisors, whose sum is σ = 2099404800. Its totient is φ = 165888000.

The previous prime is 634876019. The next prime is 634876043. The reversal of 634876032 is 230678436.

It is an unprimeable number.

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, 1583032 + ... + 1583432.

It is an arithmetic number, because the mean of its divisors is an integer number (8200800).

Almost surely, 2^634876032 is an apocalyptic number.

634876032 is a gapful number since it is divisible by the number (62) 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 634876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049702400).

634876032 is an abundant number, since it is smaller than the sum of its proper divisors (1464528768).

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

634876032 is a wasteful number, since it uses less digits than its factorization.

634876032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 634876032 is about 25196.7464566360. The cubic root of 634876032 is about 859.4678662257.

The spelling of 634876032 in words is "six hundred thirty-four million, eight hundred seventy-six thousand, thirty-two".