3339517800960 has 1280 divisors, whose sum is σ = 13457481523200. Its totient is φ = 777550233600.

The previous prime is 3339517800959. The next prime is 3339517801033. The reversal of 3339517800960 is 690087159333.

3339517800960 is a `hidden beast` number, since 3 + 3 + 39 + 517 + 8 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3339517800960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3339517800897 and 3339517800906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6857325837 + ... + 6857326323.

It is an arithmetic number, because the mean of its divisors is an integer number (10513657440).

Almost surely, 2^{3339517800960} is an apocalyptic number.

3339517800960 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 3339517800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728740761600).

3339517800960 is an abundant number, since it is smaller than the sum of its proper divisors (10117963722240).

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

3339517800960 is a wasteful number, since it uses less digits than its factorization.

3339517800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 3339517800960 in words is "three trillion, three hundred thirty-nine billion, five hundred seventeen million, eight hundred thousand, nine hundred sixty".