374416320 has 224 divisors, whose sum is σ = 1245339648. Its totient is φ = 95219712.

The previous prime is 374416319. The next prime is 374416349. The reversal of 374416320 is 23614473.

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 31 ways as a sum of consecutive naturals, for example, 2948097 + ... + 2948223.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2^374416320 is an apocalyptic number.

374416320 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 374416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824).

374416320 is an abundant number, since it is smaller than the sum of its proper divisors (870923328).

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

374416320 is a wasteful number, since it uses less digits than its factorization.

374416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 374416320 is about 19349.8403094186. The cubic root of 374416320 is about 720.7504521040.

The spelling of 374416320 in words is "three hundred seventy-four million, four hundred sixteen thousand, three hundred twenty".