319742640 has 600 divisors, whose sum is σ = 1385469360. Its totient is φ = 67931136.

The previous prime is 319742617. The next prime is 319742699. The reversal of 319742640 is 46247913.

319742640 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 4 + 2 + 640 = 666.

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 = 319742595 and 319742604.

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 119 ways as a sum of consecutive naturals, for example, 6032854 + ... + 6032906.

Almost surely, 2^319742640 is an apocalyptic number.

319742640 is a gapful number since it is divisible by the number (30) 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 319742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692734680).

319742640 is an abundant number, since it is smaller than the sum of its proper divisors (1065726720).

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

319742640 is a wasteful number, since it uses less digits than its factorization.

319742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 319742640 is about 17881.3489424036. The cubic root of 319742640 is about 683.8069630705.

The spelling of 319742640 in words is "three hundred nineteen million, seven hundred forty-two thousand, six hundred forty".