378864640 has 264 divisors, whose sum is σ = 1170818496. Its totient is φ = 114278400.

The previous prime is 378864631. The next prime is 378864659. The reversal of 378864640 is 46468873.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12221425 + ... + 12221455.

Almost surely, 2^378864640 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 378864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585409248).

378864640 is an abundant number, since it is smaller than the sum of its proper divisors (791953856).

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

378864640 is a wasteful number, since it uses less digits than its factorization.

378864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 378864640 is about 19464.4455353858. The cubic root of 378864640 is about 723.5935571652.

The spelling of 378864640 in words is "three hundred seventy-eight million, eight hundred sixty-four thousand, six hundred forty".