3561136368072 has 128 divisors (see below), whose sum is σ = 9218427125760. Its totient is φ = 1145209685760.

The previous prime is 3561136368047. The next prime is 3561136368091. The reversal of 3561136368072 is 2708636311653.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 335539438 + ... + 335550050.

It is an arithmetic number, because the mean of its divisors is an integer number (72018961920).

Almost surely, 2^{3561136368072} 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 3561136368072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609213562880).

3561136368072 is an abundant number, since it is smaller than the sum of its proper divisors (5657290757688).

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

3561136368072 is a wasteful number, since it uses less digits than its factorization.

3561136368072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 3561136368072 in words is "three trillion, five hundred sixty-one billion, one hundred thirty-six million, three hundred sixty-eight thousand, seventy-two".