3359676616704 has 312 divisors, whose sum is σ = 9769619321280. Its totient is φ = 1112416321536.

The previous prime is 3359676616661. The next prime is 3359676616711. The reversal of 3359676616704 is 4076166769533.

It is a happy number.

3359676616704 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 6 + 7 + 6 + 616 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×3359676616704² (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, 6679277317 + ... + 6679277819.

It is an arithmetic number, because the mean of its divisors is an integer number (31312882440).

Almost surely, 2^{3359676616704} 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 3359676616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884809660640).

3359676616704 is an abundant number, since it is smaller than the sum of its proper divisors (6409942704576).

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

3359676616704 is a wasteful number, since it uses less digits than its factorization.

3359676616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 3359676616704 in words is "three trillion, three hundred fifty-nine billion, six hundred seventy-six million, six hundred sixteen thousand, seven hundred four".