376004640 has 384 divisors, whose sum is σ = 1410877440. Its totient is φ = 83148800.

The previous prime is 376004639. The next prime is 376004659. The reversal of 376004640 is 46400673.

376004640 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 376004598 and 376004607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5295805 + ... + 5295875.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^376004640 is an apocalyptic number.

376004640 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 376004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

376004640 is an abundant number, since it is smaller than the sum of its proper divisors (1034872800).

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

376004640 is a wasteful number, since it uses less digits than its factorization.

376004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 376004640 is about 19390.8390741608. The cubic root of 376004640 is about 721.7681849788.

The spelling of 376004640 in words is "three hundred seventy-six million, four thousand, six hundred forty".