319881312 has 144 divisors (see below), whose sum is σ = 974518272. Its totient is φ = 103109760.

The previous prime is 319881307. The next prime is 319881337. The reversal of 319881312 is 213188913.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 240393 + ... + 241719.

It is an arithmetic number, because the mean of its divisors is an integer number (6767488).

Almost surely, 2^319881312 is an apocalyptic number.

319881312 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 319881312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487259136).

319881312 is an abundant number, since it is smaller than the sum of its proper divisors (654636960).

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

319881312 is a wasteful number, since it uses less digits than its factorization.

319881312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1363 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 319881312 is about 17885.2260818811. The cubic root of 319881312 is about 683.9058042031.

The spelling of 319881312 in words is "three hundred nineteen million, eight hundred eighty-one thousand, three hundred twelve".