3625767936 has 528 divisors, whose sum is σ = 12943590400. Its totient is φ = 975421440.

The previous prime is 3625767917. The next prime is 3625767991. The reversal of 3625767936 is 6397675263.

3625767936 is a `hidden beast` number, since 3 + 62 + 576 + 7 + 9 + 3 + 6 = 666.

Its product of digits (8573040) is a multiple of the sum of its prime divisors (80).

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 47 ways as a sum of consecutive naturals, for example, 97993710 + ... + 97993746.

Almost surely, 2^3625767936 is an apocalyptic number.

3625767936 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 3625767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471795200).

3625767936 is an abundant number, since it is smaller than the sum of its proper divisors (9317822464).

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

3625767936 is a wasteful number, since it uses less digits than its factorization.

3625767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The square root of 3625767936 is about 60214.3499176068. The cubic root of 3625767936 is about 1536.2668807100.

The spelling of 3625767936 in words is "three billion, six hundred twenty-five million, seven hundred sixty-seven thousand, nine hundred thirty-six".