377030400 has 216 divisors, whose sum is σ = 1266012720. Its totient is φ = 98795520.

The previous prime is 377030359. The next prime is 377030413. The reversal of 377030400 is 4030773.

377030400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1401466 + ... + 1401734.

It is an arithmetic number, because the mean of its divisors is an integer number (5861170).

Almost surely, 2^377030400 is an apocalyptic number.

377030400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633006360).

377030400 is an abundant number, since it is smaller than the sum of its proper divisors (888982320).

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

377030400 is a wasteful number, since it uses less digits than its factorization.

377030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 377030400 is about 19417.2706629948. The cubic root of 377030400 is about 722.4239292841.

The spelling of 377030400 in words is "three hundred seventy-seven million, thirty thousand, four hundred".