368044080400 has 30 divisors (see below), whose sum is σ = 884225904122. Its totient is φ = 147217632000.

The previous prime is 368044080377. The next prime is 368044080401. The reversal of 368044080400 is 4080440863.

It can be written as a sum of positive squares in 3 ways, for example, as 52393378816 + 315650701584 = 228896^2 + 561828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 368044080400.

It is not an unprimeable number, because it can be changed into a prime (368044080401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460054701 + ... + 460055500.

Almost surely, 2^368044080400 is an apocalyptic number.

It is an amenable number.

368044080400 is an abundant number, since it is smaller than the sum of its proper divisors (516181823722).

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

368044080400 is a wasteful number, since it uses less digits than its factorization.

368044080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920110219 (or 920110208 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 368044080400 in words is "three hundred sixty-eight billion, forty-four million, eighty thousand, four hundred".