339880968 has 128 divisors (see below), whose sum is σ = 1135872000. Its totient is φ = 91990080.

The previous prime is 339880967. The next prime is 339880969. The reversal of 339880968 is 869088933.

It is an interprime number because it is at equal distance from previous prime (339880967) and next prime (339880969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (339880963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22813 + ... + 34643.

It is an arithmetic number, because the mean of its divisors is an integer number (8874000).

Almost surely, 2^339880968 is an apocalyptic number.

339880968 is a gapful number since it is divisible by the number (38) 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 339880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567936000).

339880968 is an abundant number, since it is smaller than the sum of its proper divisors (795991032).

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

339880968 is a wasteful number, since it uses less digits than its factorization.

339880968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11872 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 339880968 is about 18435.8609237540. The cubic root of 339880968 is about 697.8717454136.

The spelling of 339880968 in words is "three hundred thirty-nine million, eight hundred eighty thousand, nine hundred sixty-eight".