3214981616968 has 192 divisors, whose sum is σ = 7087427424000. Its totient is φ = 1361393510400.

The previous prime is 3214981616923. The next prime is 3214981617013. The reversal of 3214981616968 is 8696161894123.

3214981616968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3214981616923) and next prime (3214981617013).

It is a super-2 number, since 2×3214981616968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752744673 + ... + 752748943.

It is an arithmetic number, because the mean of its divisors is an integer number (36913684500).

Almost surely, 2^{3214981616968} 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 3214981616968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543713712000).

3214981616968 is an abundant number, since it is smaller than the sum of its proper divisors (3872445807032).

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

3214981616968 is a wasteful number, since it uses less digits than its factorization.

3214981616968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4757 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 64.

The spelling of 3214981616968 in words is "three trillion, two hundred fourteen billion, nine hundred eighty-one million, six hundred sixteen thousand, nine hundred sixty-eight".