380764933920 has 768 divisors, whose sum is σ = 1646642995200. Its totient is φ = 80218460160.

The previous prime is 380764933907. The next prime is 380764933943. The reversal of 380764933920 is 29339467083.

380764933920 is a `hidden beast` number, since 3 + 80 + 76 + 493 + 3 + 9 + 2 + 0 = 666.

380764933920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21249765 + ... + 21267675.

It is an arithmetic number, because the mean of its divisors is an integer number (2144066400).

Almost surely, 2^380764933920 is an apocalyptic number.

380764933920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380764933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823321497600).

380764933920 is an abundant number, since it is smaller than the sum of its proper divisors (1265878061280).

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

380764933920 is a wasteful number, since it uses less digits than its factorization.

380764933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998 (or 17984 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 380764933920 in words is "three hundred eighty billion, seven hundred sixty-four million, nine hundred thirty-three thousand, nine hundred twenty".