3362330880168 has 128 divisors (see below), whose sum is σ = 9276609283200. Its totient is φ = 1008961228800.

The previous prime is 3362330880163. The next prime is 3362330880169. The reversal of 3362330880168 is 8610880332633.

It is a super-3 number, since 3×3362330880168³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3362330880168.

It is not an unprimeable number, because it can be changed into a prime (3362330880163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36014028 + ... + 36107268.

It is an arithmetic number, because the mean of its divisors is an integer number (72473510025).

Almost surely, 2^{3362330880168} 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 3362330880168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638304641600).

3362330880168 is an abundant number, since it is smaller than the sum of its proper divisors (5914278403032).

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

3362330880168 is a wasteful number, since it uses less digits than its factorization.

3362330880168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96123 (or 96119 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3362330880168 in words is "three trillion, three hundred sixty-two billion, three hundred thirty million, eight hundred eighty thousand, one hundred sixty-eight".