374032080 has 200 divisors, whose sum is σ = 1310119272. Its totient is φ = 98896896.

The previous prime is 374032067. The next prime is 374032129. The reversal of 374032080 is 80230473.

It can be written as a sum of positive squares in 4 ways, for example, as 236298384 + 137733696 = 15372^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1276414 + ... + 1276706.

Almost surely, 2^374032080 is an apocalyptic number.

374032080 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 374032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655059636).

374032080 is an abundant number, since it is smaller than the sum of its proper divisors (936087192).

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

374032080 is a wasteful number, since it uses less digits than its factorization.

374032080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 374032080 is about 19339.9089966835. The cubic root of 374032080 is about 720.5038140447.

The spelling of 374032080 in words is "three hundred seventy-four million, thirty-two thousand, eighty".