3339856677360 has 320 divisors, whose sum is σ = 12403136148480. Its totient is φ = 727455375360.

The previous prime is 3339856677331. The next prime is 3339856677389. The reversal of 3339856677360 is 637766589333.

3339856677360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3339856677331) and next prime (3339856677389).

It is a super-2 number, since 2×3339856677360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3339856677291 and 3339856677300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2398026 + ... + 3525654.

It is an arithmetic number, because the mean of its divisors is an integer number (38759800464).

Almost surely, 2^{3339856677360} is an apocalyptic number.

3339856677360 is a gapful number since it is divisible by the number (30) 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 3339856677360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201568074240).

3339856677360 is an abundant number, since it is smaller than the sum of its proper divisors (9063279471120).

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

3339856677360 is a wasteful number, since it uses less digits than its factorization.

3339856677360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127736 (or 1127730 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 66.

The spelling of 3339856677360 in words is "three trillion, three hundred thirty-nine billion, eight hundred fifty-six million, six hundred seventy-seven thousand, three hundred sixty".