339907838679552 has 2560 divisors, whose sum is σ = 1196037488701440. Its totient is φ = 84177982586880.

The previous prime is 339907838679511. The next prime is 339907838679557. The reversal of 339907838679552 is 255976838709933.

It is a Smith number, since the sum of its digits (84) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (339907838679557) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 502079525038 + ... + 502079525714.

It is an arithmetic number, because the mean of its divisors is an integer number (467202144024).

Almost surely, 2^{339907838679552} is an apocalyptic number.

339907838679552 is a gapful number since it is divisible by the number (32) 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 339907838679552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598018744350720).

339907838679552 is an abundant number, since it is smaller than the sum of its proper divisors (856129650021888).

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

339907838679552 is a wasteful number, since it uses less digits than its factorization.

339907838679552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 18517766400, while the sum is 84.

The spelling of 339907838679552 in words is "three hundred thirty-nine trillion, nine hundred seven billion, eight hundred thirty-eight million, six hundred seventy-nine thousand, five hundred fifty-two".