378616694400 has 288 divisors, whose sum is σ = 1543990687200. Its totient is φ = 86540912640.

The previous prime is 378616694207. The next prime is 378616694441. The reversal of 378616694400 is 4496616873.

378616694400 is a `hidden beast` number, since 3 + 78 + 6 + 166 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 737430 + ... + 1140629.

It is an arithmetic number, because the mean of its divisors is an integer number (5361078775).

Almost surely, 2^378616694400 is an apocalyptic number.

378616694400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378616694400 is an abundant number, since it is smaller than the sum of its proper divisors (1165373992800).

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

378616694400 is a wasteful number, since it uses less digits than its factorization.

378616694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878096 (or 1878076 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 378616694400 in words is "three hundred seventy-eight billion, six hundred sixteen million, six hundred ninety-four thousand, four hundred".