374350800 has 120 divisors (see below), whose sum is σ = 1207415776. Its totient is φ = 99141120.

The previous prime is 374350771. The next prime is 374350813. The reversal of 374350800 is 8053473.

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 (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 187407 + ... + 189393.

Almost surely, 2^374350800 is an apocalyptic number.

374350800 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 374350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603707888).

374350800 is an abundant number, since it is smaller than the sum of its proper divisors (833064976).

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

374350800 is a wasteful number, since it uses less digits than its factorization.

374350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 374350800 is about 19348.1471981169. The cubic root of 374350800 is about 720.7084077076.

The spelling of 374350800 in words is "three hundred seventy-four million, three hundred fifty thousand, eight hundred".