319349664 has 144 divisors (see below), whose sum is σ = 973994112. Its totient is φ = 98993664.

The previous prime is 319349659. The next prime is 319349677. The reversal of 319349664 is 466943913.

319349664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 244437 + ... + 245739.

It is an arithmetic number, because the mean of its divisors is an integer number (6763848).

Almost surely, 2^319349664 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 319349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486997056).

319349664 is an abundant number, since it is smaller than the sum of its proper divisors (654644448).

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

319349664 is a wasteful number, since it uses less digits than its factorization.

319349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 319349664 is about 17870.3571312943. The cubic root of 319349664 is about 683.5267065395.

The spelling of 319349664 in words is "three hundred nineteen million, three hundred forty-nine thousand, six hundred sixty-four".