3605091310968 has 128 divisors (see below), whose sum is σ = 10381039872000. Its totient is φ = 1021957741440.

The previous prime is 3605091310963. The next prime is 3605091310973. The reversal of 3605091310968 is 8690131905063.

It is an interprime number because it is at equal distance from previous prime (3605091310963) and next prime (3605091310973).

It is a self number, because there is not a number n which added to its sum of digits gives 3605091310968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605091310963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36823923 + ... + 36921693.

It is an arithmetic number, because the mean of its divisors is an integer number (81101874000).

Almost surely, 2^{3605091310968} 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 3605091310968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190519936000).

3605091310968 is an abundant number, since it is smaller than the sum of its proper divisors (6775948561032).

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

3605091310968 is a wasteful number, since it uses less digits than its factorization.

3605091310968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99505 (or 99501 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 3605091310968 in words is "three trillion, six hundred five billion, ninety-one million, three hundred ten thousand, nine hundred sixty-eight".