319838640 has 80 divisors (see below), whose sum is σ = 1081645056. Its totient is φ = 77536000.

The previous prime is 319838569. The next prime is 319838641. The reversal of 319838640 is 46838913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 319838592 and 319838601.

It is not an unprimeable number, because it can be changed into a prime (319838641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57936 + ... + 63215.

Almost surely, 2^319838640 is an apocalyptic number.

319838640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319838640 is an abundant number, since it is smaller than the sum of its proper divisors (761806416).

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

319838640 is a wasteful number, since it uses less digits than its factorization.

319838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121178 (or 121172 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 319838640 is about 17884.0331021836. The cubic root of 319838640 is about 683.8753919583.

The spelling of 319838640 in words is "three hundred nineteen million, eight hundred thirty-eight thousand, six hundred forty".