374986800 has 120 divisors (see below), whose sum is σ = 1334713680. Its totient is φ = 99993600.

The previous prime is 374986741. The next prime is 374986817. The reversal of 374986800 is 8689473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6561 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (11122614).

Almost surely, 2^374986800 is an apocalyptic number.

374986800 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 374986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667356840).

374986800 is an abundant number, since it is smaller than the sum of its proper divisors (959726880).

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

374986800 is a wasteful number, since it uses less digits than its factorization.

374986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34748 (or 34731 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 374986800 is about 19364.5759055033. The cubic root of 374986800 is about 721.1163238569.

The spelling of 374986800 in words is "three hundred seventy-four million, nine hundred eighty-six thousand, eight hundred".