3380815576752 has 320 divisors, whose sum is σ = 9475484958720. Its totient is φ = 1036683648000.

The previous prime is 3380815576681. The next prime is 3380815576759. The reversal of 3380815576752 is 2576755180833.

3380815576752 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 2×3380815576752² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380815576759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381276223 + ... + 381285089.

It is an arithmetic number, because the mean of its divisors is an integer number (29610890496).

Almost surely, 2^{3380815576752} 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 3380815576752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737742479360).

3380815576752 is an abundant number, since it is smaller than the sum of its proper divisors (6094669381968).

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

3380815576752 is a wasteful number, since it uses less digits than its factorization.

3380815576752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 3380815576752 in words is "three trillion, three hundred eighty billion, eight hundred fifteen million, five hundred seventy-six thousand, seven hundred fifty-two".