381312672 has 144 divisors (see below), whose sum is σ = 1141832160. Its totient is φ = 111062016.

The previous prime is 381312649. The next prime is 381312733. The reversal of 381312672 is 276213183.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307638 + ... + 308874.

It is an arithmetic number, because the mean of its divisors is an integer number (7929390).

Almost surely, 2^381312672 is an apocalyptic number.

381312672 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 381312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570916080).

381312672 is an abundant number, since it is smaller than the sum of its proper divisors (760519488).

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

381312672 is a wasteful number, since it uses less digits than its factorization.

381312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1274 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 381312672 is about 19527.2289892857. The cubic root of 381312672 is about 725.1487111512.

The spelling of 381312672 in words is "three hundred eighty-one million, three hundred twelve thousand, six hundred seventy-two".