339117768 has 192 divisors, whose sum is σ = 1076587200. Its totient is φ = 95293440.

The previous prime is 339117767. The next prime is 339117769. The reversal of 339117768 is 867711933.

It is an interprime number because it is at equal distance from previous prime (339117767) and next prime (339117769).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339117761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198155 + ... + 1198437.

It is an arithmetic number, because the mean of its divisors is an integer number (5607225).

Almost surely, 2^339117768 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 339117768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538293600).

339117768 is an abundant number, since it is smaller than the sum of its proper divisors (737469432).

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

339117768 is a wasteful number, since it uses less digits than its factorization.

339117768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 339117768 is about 18415.1505016929. The cubic root of 339117768 is about 697.3489987995.

The spelling of 339117768 in words is "three hundred thirty-nine million, one hundred seventeen thousand, seven hundred sixty-eight".