363584880400 has 405 divisors, whose sum is σ = 1047994823871. Its totient is φ = 120866135040.

The previous prime is 363584880389. The next prime is 363584880431. The reversal of 363584880400 is 4088485363.

The square root of 363584880400 is 602980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1989516816 + 361595363584 = 44604^2 + 601328^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4980614764 + ... + 4980614836.

Almost surely, 2^363584880400 is an apocalyptic number.

363584880400 is the 602980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363584880400

363584880400 is an abundant number, since it is smaller than the sum of its proper divisors (684409943471).

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

363584880400 is an equidigital number, since it uses as much as digits as its factorization.

363584880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 363584880400 by its sum of digits (49), we get a square (17815659139600 = 4220860²).

363584880400 divided by its sum of digits (49) gives a square (7420099600 = 86140²).

The spelling of 363584880400 in words is "three hundred sixty-three billion, five hundred eighty-four million, eight hundred eighty thousand, four hundred".