3481011410568 has 192 divisors, whose sum is σ = 9366515948160. Its totient is φ = 1077683346432.

The previous prime is 3481011410563. The next prime is 3481011410593. The reversal of 3481011410568 is 8650141101843.

3481011410568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3481011410563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105606346 + ... + 105639302.

It is an arithmetic number, because the mean of its divisors is an integer number (48783937230).

Almost surely, 2^{3481011410568} is an apocalyptic number.

3481011410568 is a gapful number since it is divisible by the number (38) 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 3481011410568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683257974080).

3481011410568 is an abundant number, since it is smaller than the sum of its proper divisors (5885504537592).

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

3481011410568 is a wasteful number, since it uses less digits than its factorization.

3481011410568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33244 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 3481011410568 in words is "three trillion, four hundred eighty-one billion, eleven million, four hundred ten thousand, five hundred sixty-eight".