3291891617729 has 12 divisors (see below), whose sum is σ = 3896695610388. Its totient is φ = 2762426531040.

The previous prime is 3291891617719. The next prime is 3291891617743. The reversal of 3291891617729 is 9277161981923.

It can be written as a sum of positive squares in 2 ways, for example, as 922323982129 + 2369567635600 = 960377^2 + 1539340^2 .

It is not a de Polignac number, because 3291891617729 - 2⁴ = 3291891617713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3291891617719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046372114 + ... + 1046375259.

It is an arithmetic number, because the mean of its divisors is an integer number (324724634199).

Almost surely, 2^{3291891617729} is an apocalyptic number.

It is an amenable number.

3291891617729 is a deficient number, since it is larger than the sum of its proper divisors (604803992659).

3291891617729 is a wasteful number, since it uses less digits than its factorization.

3291891617729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092747408 (or 2092747397 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 65.

The spelling of 3291891617729 in words is "three trillion, two hundred ninety-one billion, eight hundred ninety-one million, six hundred seventeen thousand, seven hundred twenty-nine".