374768000 has 128 divisors (see below), whose sum is σ = 949946400. Its totient is φ = 146995200.

The previous prime is 374767999. The next prime is 374768029. The reversal of 374768000 is 867473.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943802 + ... + 944198.

Almost surely, 2^374768000 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 374768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474973200).

374768000 is an abundant number, since it is smaller than the sum of its proper divisors (575178400).

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

374768000 is an equidigital number, since it uses as much as digits as its factorization.

374768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 374768000 is about 19358.9255900218. The cubic root of 374768000 is about 720.9760425198.

The spelling of 374768000 in words is "three hundred seventy-four million, seven hundred sixty-eight thousand".