3681644442817 has 12 divisors (see below), whose sum is σ = 4048424361828. Its totient is φ = 3345578086400.

The previous prime is 3681644442797. The next prime is 3681644442841. The reversal of 3681644442817 is 7182444461863.

It can be written as a sum of positive squares in 2 ways, for example, as 920676711361 + 2760967731456 = 959519^2 + 1661616^2 .

It is not a de Polignac number, because 3681644442817 - 2⁷ = 3681644442689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3681444442817) 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, 5937088 + ... + 6527809.

It is an arithmetic number, because the mean of its divisors is an integer number (337368696819).

Almost surely, 2^{3681644442817} is an apocalyptic number.

It is an amenable number.

3681644442817 is a deficient number, since it is larger than the sum of its proper divisors (366779919011).

3681644442817 is a wasteful number, since it uses less digits than its factorization.

3681644442817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12467360 (or 12467349 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 58.

The spelling of 3681644442817 in words is "three trillion, six hundred eighty-one billion, six hundred forty-four million, four hundred forty-two thousand, eight hundred seventeen".