378864864 has 360 divisors, whose sum is σ = 1373054760. Its totient is φ = 101896704.

The previous prime is 378864859. The next prime is 378864923. The reversal of 378864864 is 468468873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 378864864.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 2413074 + ... + 2413230.

It is an arithmetic number, because the mean of its divisors is an integer number (3814041).

Almost surely, 2^378864864 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 378864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686527380).

378864864 is an abundant number, since it is smaller than the sum of its proper divisors (994189896).

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

378864864 is a wasteful number, since it uses less digits than its factorization.

378864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 378864864 is about 19464.4512894661. The cubic root of 378864864 is about 723.5936997711.

The spelling of 378864864 in words is "three hundred seventy-eight million, eight hundred sixty-four thousand, eight hundred sixty-four".