319743648 has 144 divisors (see below), whose sum is σ = 1045699200. Its totient is φ = 90782208.

The previous prime is 319743643. The next prime is 319743659. The reversal of 319743648 is 846347913.

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

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

Its product of digits (435456) is a multiple of the sum of its prime divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (319743643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400786 + ... + 401582.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2^319743648 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 319743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

319743648 is an abundant number, since it is smaller than the sum of its proper divisors (725955552).

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

319743648 is a wasteful number, since it uses less digits than its factorization.

319743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 319743648 is about 17881.3771281744. The cubic root of 319743648 is about 683.8076816450.

The spelling of 319743648 in words is "three hundred nineteen million, seven hundred forty-three thousand, six hundred forty-eight".