3868726128417 has 12 divisors (see below), whose sum is σ = 5916875255460. Its totient is φ = 2427436002048.

The previous prime is 3868726128391. The next prime is 3868726128419. The reversal of 3868726128417 is 7148216278683.

It is a happy number.

3868726128417 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 7 + 2 + 612 + 8 + 4 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3000849431616 + 867876696801 = 1732296^2 + 931599^2 .

It is not a de Polignac number, because 3868726128417 - 2⁸ = 3868726128161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3868726128419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12642895692 + ... + 12642895997.

It is an arithmetic number, because the mean of its divisors is an integer number (493072937955).

Almost surely, 2^{3868726128417} is an apocalyptic number.

It is an amenable number.

3868726128417 is a deficient number, since it is larger than the sum of its proper divisors (2048149127043).

3868726128417 is a wasteful number, since it uses less digits than its factorization.

3868726128417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25285791712 (or 25285791709 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 3868726128417 in words is "three trillion, eight hundred sixty-eight billion, seven hundred twenty-six million, one hundred twenty-eight thousand, four hundred seventeen".