380497570800 has 120 divisors (see below), whose sum is σ = 1219111976304. Its totient is φ = 101445089280.

The previous prime is 380497570777. The next prime is 380497570801. The reversal of 380497570800 is 8075794083.

380497570800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380497570801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6297534 + ... + 6357666.

Almost surely, 2^380497570800 is an apocalyptic number.

380497570800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380497570800 is an abundant number, since it is smaller than the sum of its proper divisors (838614405504).

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

380497570800 is a wasteful number, since it uses less digits than its factorization.

380497570800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65427 (or 65416 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 380497570800 in words is "three hundred eighty billion, four hundred ninety-seven million, five hundred seventy thousand, eight hundred".