374152320 has 192 divisors, whose sum is σ = 1368352440. Its totient is φ = 93880320.

The previous prime is 374152307. The next prime is 374152327. The reversal of 374152320 is 23251473.

It can be written as a sum of positive squares in 4 ways, for example, as 371409984 + 2742336 = 19272^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×374152320² = 279979917122764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (374152327) by changing a digit.

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, 96010 + ... + 99830.

Almost surely, 2^374152320 is an apocalyptic number.

374152320 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 374152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684176220).

374152320 is an abundant number, since it is smaller than the sum of its proper divisors (994200120).

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

374152320 is a wasteful number, since it uses less digits than its factorization.

374152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 374152320 is about 19343.0173447681. The cubic root of 374152320 is about 720.5810125005.

The spelling of 374152320 in words is "three hundred seventy-four million, one hundred fifty-two thousand, three hundred twenty".