363664900 has 27 divisors (see below), whose sum is σ = 789566869. Its totient is φ = 145389680.

The previous prime is 363664877. The next prime is 363664907. The reversal of 363664900 is 9466363.

The square root of 363664900 is 19070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 130919364 + 232745536 = 11442^2 + 15256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 363664900.

It is not an unprimeable number, because it can be changed into a prime (363664907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189747 + ... + 191653.

Almost surely, 2^363664900 is an apocalyptic number.

363664900 is the 19070-th square number.

It is an amenable number.

363664900 is an abundant number, since it is smaller than the sum of its proper divisors (425901969).

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

363664900 is an equidigital number, since it uses as much as digits as its factorization.

363664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The cubic root of 363664900 is about 713.7845259404.

The spelling of 363664900 in words is "three hundred sixty-three million, six hundred sixty-four thousand, nine hundred".