339493968 has 120 divisors (see below), whose sum is σ = 1049992320. Its totient is φ = 101537280.

The previous prime is 339493951. The next prime is 339493969. The reversal of 339493968 is 869394933.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339493969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123780 + ... + 126492.

It is an arithmetic number, because the mean of its divisors is an integer number (8749936).

Almost surely, 2^339493968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524996160).

339493968 is an abundant number, since it is smaller than the sum of its proper divisors (710498352).

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

339493968 is a wasteful number, since it uses less digits than its factorization.

339493968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2808 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 339493968 is about 18425.3620859944. The cubic root of 339493968 is about 697.6067713375.

The spelling of 339493968 in words is "three hundred thirty-nine million, four hundred ninety-three thousand, nine hundred sixty-eight".