3352084366960 has 320 divisors, whose sum is σ = 9195804288000. Its totient is φ = 1135801648128.

The previous prime is 3352084366909. The next prime is 3352084366973. The reversal of 3352084366960 is 696634802533.

It is a super-2 number, since 2×3352084366960² (a number of 26 digits) contains 22 as substring.

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, 1494463599 + ... + 1494465841.

It is an arithmetic number, because the mean of its divisors is an integer number (28736888400).

Almost surely, 2^{3352084366960} 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 3352084366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597902144000).

3352084366960 is an abundant number, since it is smaller than the sum of its proper divisors (5843719921040).

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

3352084366960 is a wasteful number, since it uses less digits than its factorization.

3352084366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 55.

The spelling of 3352084366960 in words is "three trillion, three hundred fifty-two billion, eighty-four million, three hundred sixty-six thousand, nine hundred sixty".