3561190371968 has 256 divisors, whose sum is σ = 7418388257280. Its totient is φ = 1702052352000.

The previous prime is 3561190371929. The next prime is 3561190371997. The reversal of 3561190371968 is 8691730911653.

3561190371968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16877679383 + ... + 16877679593.

It is an arithmetic number, because the mean of its divisors is an integer number (28978079130).

Almost surely, 2^{3561190371968} 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 3561190371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709194128640).

3561190371968 is an abundant number, since it is smaller than the sum of its proper divisors (3857197885312).

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

3561190371968 is a wasteful number, since it uses less digits than its factorization.

3561190371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 59.

The spelling of 3561190371968 in words is "three trillion, five hundred sixty-one billion, one hundred ninety million, three hundred seventy-one thousand, nine hundred sixty-eight".