3380345581536 has 1728 divisors, whose sum is σ = 13354989613056. Its totient is φ = 786707251200.

The previous prime is 3380345581531. The next prime is 3380345581553. The reversal of 3380345581536 is 6351855430833.

3380345581536 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 3 + 4 + 5 + 581 + 53 + 6 = 666.

It is a super-2 number, since 2×3380345581536² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380345581531) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13153095520 + ... + 13153095776.

It is an arithmetic number, because the mean of its divisors is an integer number (7728581952).

Almost surely, 2^{3380345581536} is an apocalyptic number.

3380345581536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380345581536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677494806528).

3380345581536 is an abundant number, since it is smaller than the sum of its proper divisors (9974644031520).

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

3380345581536 is a wasteful number, since it uses less digits than its factorization.

3380345581536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3380345581536 in words is "three trillion, three hundred eighty billion, three hundred forty-five million, five hundred eighty-one thousand, five hundred thirty-six".