378316368 has 180 divisors, whose sum is σ = 1175800860. Its totient is φ = 113025024.

The previous prime is 378316361. The next prime is 378316373. The reversal of 378316368 is 863613873.

378316368 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 1 + 636 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 359026704 = 4392^2 + 18948^2 .

It is a super-2 number, since 2×378316368² = 286246548593422848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378316361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5182380 + ... + 5182452.

It is an arithmetic number, because the mean of its divisors is an integer number (6532227).

Almost surely, 2^378316368 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 378316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587900430).

378316368 is an abundant number, since it is smaller than the sum of its proper divisors (797484492).

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

378316368 is a wasteful number, since it uses less digits than its factorization.

378316368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 124 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 378316368 is about 19450.3565005889. The cubic root of 378316368 is about 723.2443404334.

The spelling of 378316368 in words is "three hundred seventy-eight million, three hundred sixteen thousand, three hundred sixty-eight".