3391136117296 has 80 divisors (see below), whose sum is σ = 6975453542400. Its totient is φ = 1593613835264.

The previous prime is 3391136117063. The next prime is 3391136117309. The reversal of 3391136117296 is 6927116311933.

3391136117296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3391136117296² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47883000 + ... + 47953768.

It is an arithmetic number, because the mean of its divisors is an integer number (87193169280).

Almost surely, 2^{3391136117296} 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 3391136117296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487726771200).

3391136117296 is an abundant number, since it is smaller than the sum of its proper divisors (3584317425104).

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

3391136117296 is a wasteful number, since it uses less digits than its factorization.

3391136117296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73066 (or 73060 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 52.

The spelling of 3391136117296 in words is "three trillion, three hundred ninety-one billion, one hundred thirty-six million, one hundred seventeen thousand, two hundred ninety-six".