3660800 has 132 divisors (see below), whose sum is σ = 10660776. Its totient is φ = 1228800.

The previous prime is 3660799. The next prime is 3660823. The reversal of 3660800 is 80663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281594 + ... + 281606.

Almost surely, 2^3660800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330388).

3660800 is an abundant number, since it is smaller than the sum of its proper divisors (6999976).

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

3660800 is a wasteful number, since it uses less digits than its factorization.

3660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3660800 is about 1913.3217188962. The cubic root of 3660800 is about 154.1198819161.

The spelling of 3660800 in words is "three million, six hundred sixty thousand, eight hundred".