3627406125 has 128 divisors (see below), whose sum is σ = 7812080640. Its totient is φ = 1626393600.

The previous prime is 3627406121. The next prime is 3627406151. The reversal of 3627406125 is 5216047263.

3627406125 is a `hidden beast` number, since 3 + 627 + 4 + 0 + 6 + 1 + 25 = 666.

It is not a de Polignac number, because 3627406125 - 2² = 3627406121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3627406125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627406121) 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 127 ways as a sum of consecutive naturals, for example, 1250677 + ... + 1253573.

It is an arithmetic number, because the mean of its divisors is an integer number (61031880).

Almost surely, 2^3627406125 is an apocalyptic number.

3627406125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3627406125 is an abundant number, since it is smaller than the sum of its proper divisors (4184674515).

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

3627406125 is a wasteful number, since it uses less digits than its factorization.

3627406125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3627406125 is about 60227.9513598130. The cubic root of 3627406125 is about 1536.4982171344.

The spelling of 3627406125 in words is "three billion, six hundred twenty-seven million, four hundred six thousand, one hundred twenty-five".