378394031232 has 864 divisors, whose sum is σ = 1382243616000. Its totient is φ = 98953021440.

The previous prime is 378394031227. The next prime is 378394031317. The reversal of 378394031232 is 232130493873.

378394031232 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 9 + 403 + 1 + 232 = 666.

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 107 ways as a sum of consecutive naturals, for example, 631709269 + ... + 631709867.

It is an arithmetic number, because the mean of its divisors is an integer number (1599819000).

Almost surely, 2^378394031232 is an apocalyptic number.

378394031232 is a gapful number since it is divisible by the number (32) 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 378394031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691121808000).

378394031232 is an abundant number, since it is smaller than the sum of its proper divisors (1003849584768).

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

378394031232 is a wasteful number, since it uses less digits than its factorization.

378394031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 378394031232 in words is "three hundred seventy-eight billion, three hundred ninety-four million, thirty-one thousand, two hundred thirty-two".