319452672 has 320 divisors, whose sum is σ = 1104643584. Its totient is φ = 79626240.

The previous prime is 319452667. The next prime is 319452697. The reversal of 319452672 is 276254913.

319452672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 319452672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4376028 + ... + 4376100.

Almost surely, 2^319452672 is an apocalyptic number.

319452672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552321792).

319452672 is an abundant number, since it is smaller than the sum of its proper divisors (785190912).

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

319452672 is a wasteful number, since it uses less digits than its factorization.

319452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 319452672 is about 17873.2389901775. The cubic root of 319452672 is about 683.6001904122.

The spelling of 319452672 in words is "three hundred nineteen million, four hundred fifty-two thousand, six hundred seventy-two".