376368000 has 128 divisors (see below), whose sum is σ = 1247819040. Its totient is φ = 100352000.

The previous prime is 376367977. The next prime is 376368001. The reversal of 376368000 is 863673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376368001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44080 + ... + 51920.

Almost surely, 2^376368000 is an apocalyptic number.

376368000 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 376368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623909520).

376368000 is an abundant number, since it is smaller than the sum of its proper divisors (871451040).

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

376368000 is an equidigital number, since it uses as much as digits as its factorization.

376368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 376368000 is about 19400.2061844713. The cubic root of 376368000 is about 722.0006087527. Note that the first 3 decimals are identical.

The spelling of 376368000 in words is "three hundred seventy-six million, three hundred sixty-eight thousand".