3625425597600 has 216 divisors, whose sum is σ = 13081464107712. Its totient is φ = 944296819200.

The previous prime is 3625425597593. The next prime is 3625425597601. The reversal of 3625425597600 is 67955245263.

It is a happy number.

3625425597600 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 4 + 25 + 5 + 9 + 7 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (3625425597601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5545416 + ... + 6164615.

It is an arithmetic number, because the mean of its divisors is an integer number (60562333832).

Almost surely, 2^{3625425597600} is an apocalyptic number.

3625425597600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3625425597600 is an abundant number, since it is smaller than the sum of its proper divisors (9456038510112).

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

3625425597600 is a wasteful number, since it uses less digits than its factorization.

3625425597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710100 (or 11710084 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

It can be divided in two parts, 3625425 and 597600, that added together give a square (4223025 = 2055²).

The spelling of 3625425597600 in words is "three trillion, six hundred twenty-five billion, four hundred twenty-five million, five hundred ninety-seven thousand, six hundred".