319936416 has 48 divisors (see below), whose sum is σ = 841032864. Its totient is φ = 106493184.

The previous prime is 319936403. The next prime is 319936427. The reversal of 319936416 is 614639913.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79935 + ... + 83841.

It is an arithmetic number, because the mean of its divisors is an integer number (17521518).

Almost surely, 2^319936416 is an apocalyptic number.

It is an amenable number.

319936416 is an abundant number, since it is smaller than the sum of its proper divisors (521096448).

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

319936416 is a wasteful number, since it uses less digits than its factorization.

319936416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4765 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 319936416 is about 17886.7665048773. The cubic root of 319936416 is about 683.9450727070.

The spelling of 319936416 in words is "three hundred nineteen million, nine hundred thirty-six thousand, four hundred sixteen".