339085628341824 has 448 divisors, whose sum is σ = 1209470691340800. Its totient is φ = 81266268045312.

The previous prime is 339085628341787. The next prime is 339085628341843. The reversal of 339085628341824 is 428143826580933.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×339085628341824² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11069239 + ... + 28296630.

It is an arithmetic number, because the mean of its divisors is an integer number (2699711364600).

Almost surely, 2^{339085628341824} is an apocalyptic number.

339085628341824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

339085628341824 is an abundant number, since it is smaller than the sum of its proper divisors (870385062998976).

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

339085628341824 is a wasteful number, since it uses less digits than its factorization.

339085628341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39365950 (or 39365940 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 339085628341824 in words is "three hundred thirty-nine trillion, eighty-five billion, six hundred twenty-eight million, three hundred forty-one thousand, eight hundred twenty-four".