378816784400 has 120 divisors (see below), whose sum is σ = 915144831744. Its totient is φ = 150690355200.

The previous prime is 378816784399. The next prime is 378816784429. The reversal of 378816784400 is 4487618873.

It is a happy number.

It is a super-2 number, since 2×378816784400² (a number of 24 digits) contains 22 as substring.

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, 57593912 + ... + 57600488.

Almost surely, 2^378816784400 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 378816784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457572415872).

378816784400 is an abundant number, since it is smaller than the sum of its proper divisors (536328047344).

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

378816784400 is a wasteful number, since it uses less digits than its factorization.

378816784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 378816784400 in words is "three hundred seventy-eight billion, eight hundred sixteen million, seven hundred eighty-four thousand, four hundred".