3677625 has 48 divisors (see below), whose sum is σ = 7592832. Its totient is φ = 1677600.

The previous prime is 3677599. The next prime is 3677633. The reversal of 3677625 is 5267763.

It is a happy number.

It is not a de Polignac number, because 3677625 - 2⁸ = 3677369 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3677625.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7642 + ... + 8108.

It is an arithmetic number, because the mean of its divisors is an integer number (158184).

Almost surely, 2^3677625 is an apocalyptic number.

3677625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3677625 is an abundant number, since it is smaller than the sum of its proper divisors (3915207).

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

3677625 is a wasteful number, since it uses less digits than its factorization.

3677625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 3677625 is about 1917.7134822491. The cubic root of 3677625 is about 154.3556322580.

The spelling of 3677625 in words is "three million, six hundred seventy-seven thousand, six hundred twenty-five".