3688517625 has 64 divisors (see below), whose sum is σ = 6998793984. Its totient is φ = 1709030400.

The previous prime is 3688517621. The next prime is 3688517629. The reversal of 3688517625 is 5267158863.

It is a happy number.

3688517625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3688517621) and next prime (3688517629).

It is not a de Polignac number, because 3688517625 - 2² = 3688517621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3688517621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60622 + ... + 105128.

It is an arithmetic number, because the mean of its divisors is an integer number (109356156).

Almost surely, 2^3688517625 is an apocalyptic number.

It is an amenable number.

3688517625 is a deficient number, since it is larger than the sum of its proper divisors (3310276359).

3688517625 is a wasteful number, since it uses less digits than its factorization.

3688517625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44555 (or 44545 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 3688517625 is about 60733.1674211052. The cubic root of 3688517625 is about 1545.0787551103.

The spelling of 3688517625 in words is "three billion, six hundred eighty-eight million, five hundred seventeen thousand, six hundred twenty-five".