377904400 has 60 divisors (see below), whose sum is σ = 919484800. Its totient is φ = 149235840.

The previous prime is 377904391. The next prime is 377904409. The reversal of 377904400 is 4409773.

377904400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (377904391) and next prime (377904409).

It is not an unprimeable number, because it can be changed into a prime (377904409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25621 + ... + 37579.

Almost surely, 2^377904400 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 377904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459742400).

377904400 is an abundant number, since it is smaller than the sum of its proper divisors (541580400).

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

377904400 is a wasteful number, since it uses less digits than its factorization.

377904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12056 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 377904400 is about 19439.7633730455. The cubic root of 377904400 is about 722.9817191924.

The spelling of 377904400 in words is "three hundred seventy-seven million, nine hundred four thousand, four hundred".