378815616 has 192 divisors, whose sum is σ = 1191808800. Its totient is φ = 119439360.

The previous prime is 378815587. The next prime is 378815617. The reversal of 378815616 is 616518873.

378815616 is a `hidden beast` number, since 3 + 7 + 8 + 81 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (378815617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590656 + ... + 591296.

Almost surely, 2^378815616 is an apocalyptic number.

378815616 is a gapful number since it is divisible by the number (36) 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 378815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595904400).

378815616 is an abundant number, since it is smaller than the sum of its proper divisors (812993184).

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

378815616 is an equidigital number, since it uses as much as digits as its factorization.

378815616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 665 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 378815616 is about 19463.1861728752. The cubic root of 378815616 is about 723.5623455072.

The spelling of 378815616 in words is "three hundred seventy-eight million, eight hundred fifteen thousand, six hundred sixteen".