374834304 has 256 divisors, whose sum is σ = 1217798400. Its totient is φ = 114213888.

The previous prime is 374834303. The next prime is 374834321. The reversal of 374834304 is 403438473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (374834303) 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, 3639117 + ... + 3639219.

It is an arithmetic number, because the mean of its divisors is an integer number (4757025).

Almost surely, 2^374834304 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 374834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608899200).

374834304 is an abundant number, since it is smaller than the sum of its proper divisors (842964096).

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

374834304 is an equidigital number, since it uses as much as digits as its factorization.

374834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 374834304 is about 19360.6380060162. The cubic root of 374834304 is about 721.0185584022.

The spelling of 374834304 in words is "three hundred seventy-four million, eight hundred thirty-four thousand, three hundred four".