3125631600 has 1080 divisors, whose sum is σ = 14355956160. Its totient is φ = 623185920.

The previous prime is 3125631599. The next prime is 3125631659. The reversal of 3125631600 is 61365213.

3125631600 is a `hidden beast` number, since 3 + 1 + 2 + 56 + 3 + 1 + 600 = 666.

3125631600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 66502777 + ... + 66502823.

It is an arithmetic number, because the mean of its divisors is an integer number (13292552).

Almost surely, 2^3125631600 is an apocalyptic number.

3125631600 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 3125631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177978080).

3125631600 is an abundant number, since it is smaller than the sum of its proper divisors (11230324560).

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

3125631600 is a wasteful number, since it uses less digits than its factorization.

3125631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3125631600 is about 55907.3483542191. The cubic root of 3125631600 is about 1462.1073589836.

Adding to 3125631600 its reverse (61365213), we get a palindrome (3186996813).

The spelling of 3125631600 in words is "three billion, one hundred twenty-five million, six hundred thirty-one thousand, six hundred".