376096000 has 288 divisors, whose sum is σ = 1132604928. Its totient is φ = 121651200.

The previous prime is 376095989. The next prime is 376096001. The reversal of 376096000 is 690673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376096001) 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 31 ways as a sum of consecutive naturals, for example, 5151964 + ... + 5152036.

It is an arithmetic number, because the mean of its divisors is an integer number (3932656).

Almost surely, 2^376096000 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 376096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566302464).

376096000 is an abundant number, since it is smaller than the sum of its proper divisors (756508928).

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

376096000 is an equidigital number, since it uses as much as digits as its factorization.

376096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 376096000 is about 19393.1946826715. The cubic root of 376096000 is about 721.8266376276.

The spelling of 376096000 in words is "three hundred seventy-six million, ninety-six thousand".