319781742 has 144 divisors (see below), whose sum is σ = 825593472. Its totient is φ = 82162080.

The previous prime is 319781741. The next prime is 319781779. The reversal of 319781742 is 247187913.

319781742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 319781694 and 319781703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319781741) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2441017 + ... + 2441147.

It is an arithmetic number, because the mean of its divisors is an integer number (5733288).

Almost surely, 2^319781742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319781742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412796736).

319781742 is an abundant number, since it is smaller than the sum of its proper divisors (505811730).

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

319781742 is a wasteful number, since it uses less digits than its factorization.

319781742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 319781742 is about 17882.4422828651. The cubic root of 319781742 is about 683.8348366649.

The spelling of 319781742 in words is "three hundred nineteen million, seven hundred eighty-one thousand, seven hundred forty-two".