3656400 has 120 divisors (see below), whose sum is σ = 12823584. Its totient is φ = 883200.

The previous prime is 3656383. The next prime is 3656413. The reversal of 3656400 is 46563.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13062 + ... + 13338.

Almost surely, 2^3656400 is an apocalyptic number.

3656400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411792).

3656400 is an abundant number, since it is smaller than the sum of its proper divisors (9167184).

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

3656400 is a wasteful number, since it uses less digits than its factorization.

3656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3656400 is about 1912.1715404220. The cubic root of 3656400 is about 154.0581104137.

The spelling of 3656400 in words is "three million, six hundred fifty-six thousand, four hundred".