3625293672 has 640 divisors, whose sum is σ = 14284892160. Its totient is φ = 831409920.

The previous prime is 3625293653. The next prime is 3625293743. The reversal of 3625293672 is 2763925263.

3625293672 is a `hidden beast` number, since 3 + 62 + 529 + 3 + 67 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157621453 + ... + 157621475.

It is an arithmetic number, because the mean of its divisors is an integer number (22320144).

Almost surely, 2^3625293672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142446080).

3625293672 is an abundant number, since it is smaller than the sum of its proper divisors (10659598488).

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

3625293672 is a wasteful number, since it uses less digits than its factorization.

3625293672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3625293672 is about 60210.4116577856. The cubic root of 3625293672 is about 1536.1998946389.

The spelling of 3625293672 in words is "three billion, six hundred twenty-five million, two hundred ninety-three thousand, six hundred seventy-two".