3441962515968 has 320 divisors, whose sum is σ = 10267057152000. Its totient is φ = 1138501066752.

The previous prime is 3441962515921. The next prime is 3441962515973. The reversal of 3441962515968 is 8695152691443.

3441962515968 is a `hidden beast` number, since 3 + 4 + 4 + 19 + 6 + 25 + 1 + 596 + 8 = 666.

It is a super-2 number, since 2×3441962515968² (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 31 ways as a sum of consecutive naturals, for example, 1195539553 + ... + 1195542431.

It is an arithmetic number, because the mean of its divisors is an integer number (32084553600).

Almost surely, 2^{3441962515968} 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 3441962515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133528576000).

3441962515968 is an abundant number, since it is smaller than the sum of its proper divisors (6825094636032).

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

3441962515968 is a wasteful number, since it uses less digits than its factorization.

3441962515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3520 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 3441962515968 in words is "three trillion, four hundred forty-one billion, nine hundred sixty-two million, five hundred fifteen thousand, nine hundred sixty-eight".