377886400 has 84 divisors (see below), whose sum is σ = 939273712. Its totient is φ = 149621760.

The previous prime is 377886391. The next prime is 377886407. The reversal of 377886400 is 4688773.

377886400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (377886407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 163654 + ... + 165946.

Almost surely, 2^377886400 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 377886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469636856).

377886400 is an abundant number, since it is smaller than the sum of its proper divisors (561387312).

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

377886400 is a wasteful number, since it uses less digits than its factorization.

377886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 377886400 is about 19439.3003989341. The cubic root of 377886400 is about 722.9702402067.

The spelling of 377886400 in words is "three hundred seventy-seven million, eight hundred eighty-six thousand, four hundred".