319036644 has 84 divisors (see below), whose sum is σ = 860003004. Its totient is φ = 103436352.

The previous prime is 319036631. The next prime is 319036661. The reversal of 319036644 is 446630913.

319036644 is a `hidden beast` number, since 3 + 1 + 9 + 0 + 3 + 6 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177902244 + 141134400 = 13338^2 + 11880^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 319036599 and 319036608.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 106414 + ... + 109370.

It is an arithmetic number, because the mean of its divisors is an integer number (10238131).

Almost surely, 2^319036644 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 319036644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430001502).

319036644 is an abundant number, since it is smaller than the sum of its proper divisors (540966360).

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

319036644 is a wasteful number, since it uses less digits than its factorization.

319036644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 319036644 is about 17861.5969050922. The cubic root of 319036644 is about 683.3033072404.

The spelling of 319036644 in words is "three hundred nineteen million, thirty-six thousand, six hundred forty-four".