339286816 has 144 divisors (see below), whose sum is σ = 810764640. Its totient is φ = 138086400.

The previous prime is 339286811. The next prime is 339286837. The reversal of 339286816 is 618682933.

339286816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×339286816² = 230231087022835712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (339286811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5750595 + ... + 5750653.

It is an arithmetic number, because the mean of its divisors is an integer number (5630310).

Almost surely, 2^339286816 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 339286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405382320).

339286816 is an abundant number, since it is smaller than the sum of its proper divisors (471477824).

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

339286816 is a wasteful number, since it uses less digits than its factorization.

339286816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 339286816 is about 18419.7398461542. The cubic root of 339286816 is about 697.4648541962.

The spelling of 339286816 in words is "three hundred thirty-nine million, two hundred eighty-six thousand, eight hundred sixteen".