378579360 has 192 divisors, whose sum is σ = 1237565952. Its totient is φ = 97222656.

The previous prime is 378579329. The next prime is 378579401. The reversal of 378579360 is 63975873.

378579360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188234 + ... + 2188406.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2^378579360 is an apocalyptic number.

378579360 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 378579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618782976).

378579360 is an abundant number, since it is smaller than the sum of its proper divisors (858986592).

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

378579360 is a wasteful number, since it uses less digits than its factorization.

378579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 378579360 is about 19457.1159219449. The cubic root of 378579360 is about 723.4118928080.

The spelling of 378579360 in words is "three hundred seventy-eight million, five hundred seventy-nine thousand, three hundred sixty".