378940608000 has 480 divisors, whose sum is σ = 1445197010400. Its totient is φ = 95104204800.

The previous prime is 378940607977. The next prime is 378940608037. The reversal of 378940608000 is 806049873.

It is a happy number.

378940608000 is a `hidden beast` number, since 37 + 8 + 9 + 4 + 0 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9772651 + ... + 9811349.

It is an arithmetic number, because the mean of its divisors is an integer number (3010827105).

Almost surely, 2^378940608000 is an apocalyptic number.

378940608000 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 378940608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722598505200).

378940608000 is an abundant number, since it is smaller than the sum of its proper divisors (1066256402400).

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

378940608000 is a wasteful number, since it uses less digits than its factorization.

378940608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38755 (or 38726 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 378940608000 in words is "three hundred seventy-eight billion, nine hundred forty million, six hundred eight thousand".