3811017680217 has 256 divisors, whose sum is σ = 7014255575040. Its totient is φ = 2016044236800.

The previous prime is 3811017680209. The next prime is 3811017680257. The reversal of 3811017680217 is 7120867101183.

3811017680217 is a `hidden beast` number, since 381 + 1 + 0 + 176 + 80 + 21 + 7 = 666.

It is not a de Polignac number, because 3811017680217 - 2³ = 3811017680209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3811017680207) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 795119173 + ... + 795123965.

It is an arithmetic number, because the mean of its divisors is an integer number (27399435840).

Almost surely, 2^{3811017680217} is an apocalyptic number.

It is an amenable number.

3811017680217 is a deficient number, since it is larger than the sum of its proper divisors (3203237894823).

3811017680217 is a wasteful number, since it uses less digits than its factorization.

3811017680217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 3811017680217 in words is "three trillion, eight hundred eleven billion, seventeen million, six hundred eighty thousand, two hundred seventeen".