374608800 has 432 divisors, whose sum is σ = 1433158272. Its totient is φ = 95385600.

The previous prime is 374608799. The next prime is 374608811. The reversal of 374608800 is 8806473.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 3.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7970377 + ... + 7970423.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^374608800 is an apocalyptic number.

374608800 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 374608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

374608800 is an abundant number, since it is smaller than the sum of its proper divisors (1058549472).

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

374608800 is a wasteful number, since it uses less digits than its factorization.

374608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 374608800 is about 19354.8133548221. The cubic root of 374608800 is about 720.8739387805.

The spelling of 374608800 in words is "three hundred seventy-four million, six hundred eight thousand, eight hundred".