378876312 has 64 divisors (see below), whose sum is σ = 1055628000. Its totient is φ = 125908992.

The previous prime is 378876257. The next prime is 378876319. The reversal of 378876312 is 213678873.

378876312 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 7 + 631 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378876319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73764 + ... + 78732.

Almost surely, 2^378876312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378876312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527814000).

378876312 is an abundant number, since it is smaller than the sum of its proper divisors (676751688).

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

378876312 is a wasteful number, since it uses less digits than its factorization.

378876312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5327 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 378876312 is about 19464.7453618073. The cubic root of 378876312 is about 723.6009878730.

The spelling of 378876312 in words is "three hundred seventy-eight million, eight hundred seventy-six thousand, three hundred twelve".