3388571342720 has 256 divisors, whose sum is σ = 8477763782400. Its totient is φ = 1293534068736.

The previous prime is 3388571342713. The next prime is 3388571342759. The reversal of 3388571342720 is 272431758833.

3388571342720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388571342720² (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 31 ways as a sum of consecutive naturals, for example, 574039289 + ... + 574045191.

It is an arithmetic number, because the mean of its divisors is an integer number (33116264775).

Almost surely, 2^{3388571342720} 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 3388571342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238881891200).

3388571342720 is an abundant number, since it is smaller than the sum of its proper divisors (5089192439680).

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

3388571342720 is a wasteful number, since it uses less digits than its factorization.

3388571342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 3388571342720 in words is "three trillion, three hundred eighty-eight billion, five hundred seventy-one million, three hundred forty-two thousand, seven hundred twenty".