374976000 has 640 divisors, whose sum is σ = 1634181120. Its totient is φ = 82944000.

The previous prime is 374975999. The next prime is 374976067. The reversal of 374976000 is 679473.

374976000 is a `hidden beast` number, since 3 + 7 + 49 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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, 12095985 + ... + 12096015.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 2^374976000 is an apocalyptic number.

374976000 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 374976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

374976000 is an abundant number, since it is smaller than the sum of its proper divisors (1259205120).

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

374976000 is an equidigital number, since it uses as much as digits as its factorization.

374976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 374976000 is about 19364.2970437865. The cubic root of 374976000 is about 721.1094008301.

The spelling of 374976000 in words is "three hundred seventy-four million, nine hundred seventy-six thousand".