3660000400 has 240 divisors, whose sum is σ = 10710921600. Its totient is φ = 1173934080.

The previous prime is 3660000359. The next prime is 3660000437. The reversal of 3660000400 is 40000663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 4734414 + ... + 4735186.

It is an arithmetic number, because the mean of its divisors is an integer number (44628840).

Almost surely, 2^3660000400 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 3660000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355460800).

3660000400 is an abundant number, since it is smaller than the sum of its proper divisors (7050921200).

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

3660000400 is a wasteful number, since it uses less digits than its factorization.

3660000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

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

The square root of 3660000400 is about 60497.9371549146. The cubic root of 3660000400 is about 1541.0866003095.

The spelling of 3660000400 in words is "three billion, six hundred sixty million, four hundred", and thus it is an aban number.