3688400 has 30 divisors (see below), whose sum is σ = 8862342. Its totient is φ = 1475200.

The previous prime is 3688393. The next prime is 3688453. The reversal of 3688400 is 48863.

It can be written as a sum of positive squares in 3 ways, for example, as 839056 + 2849344 = 916^2 + 1688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4211 + ... + 5010.

Almost surely, 2^3688400 is an apocalyptic number.

It is an amenable number.

3688400 is an abundant number, since it is smaller than the sum of its proper divisors (5173942).

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

3688400 is a wasteful number, since it uses less digits than its factorization.

3688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3688400 is about 1920.5207627099. The cubic root of 3688400 is about 154.5062331004.

The spelling of 3688400 in words is "three million, six hundred eighty-eight thousand, four hundred".