3536123953968 has 120 divisors (see below), whose sum is σ = 9985470545232. Its totient is φ = 1168083001344.

The previous prime is 3536123953939. The next prime is 3536123954003. The reversal of 3536123953968 is 8693593216353.

3536123953968 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 1 + 2 + 39 + 539 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124352680 + ... + 124381112.

Almost surely, 2^{3536123953968} 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 3536123953968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992735272616).

3536123953968 is an abundant number, since it is smaller than the sum of its proper divisors (6449346591264).

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

3536123953968 is a wasteful number, since it uses less digits than its factorization.

3536123953968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36203 (or 36194 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 63.

The spelling of 3536123953968 in words is "three trillion, five hundred thirty-six billion, one hundred twenty-three million, nine hundred fifty-three thousand, nine hundred sixty-eight".