3660400 has 30 divisors (see below), whose sum is σ = 8795072. Its totient is φ = 1464000.

The previous prime is 3660379. The next prime is 3660401. The reversal of 3660400 is 40663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4176 + ... + 4975.

Almost surely, 2^3660400 is an apocalyptic number.

It is an amenable number.

3660400 is an abundant number, since it is smaller than the sum of its proper divisors (5134672).

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

3660400 is a wasteful number, since it uses less digits than its factorization.

3660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3660400 is about 1913.2171857894. The cubic root of 3660400 is about 154.1142683709.

The spelling of 3660400 in words is "three million, six hundred sixty thousand, four hundred".