378400687920 has 120 divisors (see below), whose sum is σ = 1337679673200. Its totient is φ = 95595959808.

The previous prime is 378400687909. The next prime is 378400687927. The reversal of 378400687920 is 29786004873.

378400687920 is a `hidden beast` number, since 3 + 78 + 400 + 6 + 87 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (378400687927) 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, 13816755 + ... + 13844114.

It is an arithmetic number, because the mean of its divisors is an integer number (11147330610).

Almost surely, 2^378400687920 is an apocalyptic number.

378400687920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378400687920 is an abundant number, since it is smaller than the sum of its proper divisors (959278985280).

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

378400687920 is a wasteful number, since it uses less digits than its factorization.

378400687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27660907 (or 27660898 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 378400687920 in words is "three hundred seventy-eight billion, four hundred million, six hundred eighty-seven thousand, nine hundred twenty".