3362413806288 has 120 divisors (see below), whose sum is σ = 9617789020320. Its totient is φ = 1096271412480.

The previous prime is 3362413806203. The next prime is 3362413806299. The reversal of 3362413806288 is 8826083142633.

3362413806288 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 4 + 1 + 3 + 8 + 0 + 628 + 8 = 666.

It is a super-2 number, since 2×3362413806288² (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 23 ways as a sum of consecutive naturals, for example, 503095 + ... + 2641577.

It is an arithmetic number, because the mean of its divisors is an integer number (80148241836).

Almost surely, 2^{3362413806288} 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 3362413806288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808894510160).

3362413806288 is an abundant number, since it is smaller than the sum of its proper divisors (6255375214032).

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

3362413806288 is a wasteful number, since it uses less digits than its factorization.

3362413806288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138737 (or 2138728 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3362413806288 in words is "three trillion, three hundred sixty-two billion, four hundred thirteen million, eight hundred six thousand, two hundred eighty-eight".