378668160 has 288 divisors, whose sum is σ = 1419549300. Its totient is φ = 92971008.

The previous prime is 378668111. The next prime is 378668179. The reversal of 378668160 is 61866873.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 365880384 = 3576^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973246 + ... + 973634.

Almost surely, 2^378668160 is an apocalyptic number.

378668160 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 378668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709774650).

378668160 is an abundant number, since it is smaller than the sum of its proper divisors (1040881140).

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

378668160 is a wasteful number, since it uses less digits than its factorization.

378668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 378668160 is about 19459.3977296318. The cubic root of 378668160 is about 723.4684498217.

The spelling of 378668160 in words is "three hundred seventy-eight million, six hundred sixty-eight thousand, one hundred sixty".