3339635680368 has 300 divisors, whose sum is σ = 10495999887120. Its totient is φ = 1024693742592.

The previous prime is 3339635680343. The next prime is 3339635680369. The reversal of 3339635680368 is 8630865369333.

3339635680368 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 6 + 3 + 568 + 0 + 3 + 68 = 666.

It is a super-2 number, since 2×3339635680368² (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 (3339635680369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78608380 + ... + 78650852.

Almost surely, 2^{3339635680368} 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 3339635680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247999943560).

3339635680368 is an abundant number, since it is smaller than the sum of its proper divisors (7156364206752).

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

3339635680368 is a wasteful number, since it uses less digits than its factorization.

3339635680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878 (or 42850 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 3339635680368 in words is "three trillion, three hundred thirty-nine billion, six hundred thirty-five million, six hundred eighty thousand, three hundred sixty-eight".