3688125 has 40 divisors (see below), whose sum is σ = 7047744. Its totient is φ = 1680000.

The previous prime is 3688117. The next prime is 3688127. The reversal of 3688125 is 5218863.

It is a happy number.

3688125 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3688125 - 2³ = 3688117 is a prime.

3688125 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12985 + ... + 13265.

Almost surely, 2^3688125 is an apocalyptic number.

3688125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3688125 is a deficient number, since it is larger than the sum of its proper divisors (3359619).

3688125 is an equidigital number, since it uses as much as digits as its factorization.

3688125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 3688125 is about 1920.4491662109. The cubic root of 3688125 is about 154.5023931092.

The spelling of 3688125 in words is "three million, six hundred eighty-eight thousand, one hundred twenty-five".