374080512 has 352 divisors, whose sum is σ = 1238025600. Its totient is φ = 99090432.

The previous prime is 374080507. The next prime is 374080517. The reversal of 374080512 is 215080473.

It is an interprime number because it is at equal distance from previous prime (374080507) and next prime (374080517).

It is a super-3 number, since 3×374080512³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 374080512.

It is not an unprimeable number, because it can be changed into a prime (374080517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12899314 + ... + 12899342.

Almost surely, 2^374080512 is an apocalyptic number.

374080512 is a gapful number since it is divisible by the number (32) 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 374080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619012800).

374080512 is an abundant number, since it is smaller than the sum of its proper divisors (863945088).

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

374080512 is a wasteful number, since it uses less digits than its factorization.

374080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 374080512 is about 19341.1610820033. The cubic root of 374080512 is about 720.5349111409.

The spelling of 374080512 in words is "three hundred seventy-four million, eighty thousand, five hundred twelve".