319738144 has 48 divisors (see below), whose sum is σ = 692477856. Its totient is φ = 145316160.

The previous prime is 319738109. The next prime is 319738147. The reversal of 319738144 is 441837913.

It is a junction number, because it is equal to n+sod(n) for n = 319738097 and 319738106.

It is not an unprimeable number, because it can be changed into a prime (319738147) 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 7 ways as a sum of consecutive naturals, for example, 38839 + ... + 46345.

It is an arithmetic number, because the mean of its divisors is an integer number (14426622).

Almost surely, 2^319738144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346238928).

319738144 is an abundant number, since it is smaller than the sum of its proper divisors (372739712).

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

319738144 is an equidigital number, since it uses as much as digits as its factorization.

319738144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7520 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 319738144 is about 17881.2232243770. The cubic root of 319738144 is about 683.8037579819.

The spelling of 319738144 in words is "three hundred nineteen million, seven hundred thirty-eight thousand, one hundred forty-four".