379961878400 has 384 divisors, whose sum is σ = 1067106700800. Its totient is φ = 132525711360.

The previous prime is 379961878339. The next prime is 379961878403. The reversal of 379961878400 is 4878169973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379961878403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511388429 + ... + 511389171.

It is an arithmetic number, because the mean of its divisors is an integer number (2778923700).

Almost surely, 2^379961878400 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 379961878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533553350400).

379961878400 is an abundant number, since it is smaller than the sum of its proper divisors (687144822400).

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

379961878400 is a wasteful number, since it uses less digits than its factorization.

379961878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 379961878400 in words is "three hundred seventy-nine billion, nine hundred sixty-one million, eight hundred seventy-eight thousand, four hundred".