3813312138417 has 24 divisors (see below), whose sum is σ = 5516715859200. Its totient is φ = 2538241878528.

The previous prime is 3813312138403. The next prime is 3813312138431. The reversal of 3813312138417 is 7148312133183.

3813312138417 is a `hidden beast` number, since 3 + 8 + 13 + 3 + 1 + 213 + 8 + 417 = 666.

It is an interprime number because it is at equal distance from previous prime (3813312138403) and next prime (3813312138431).

It is not a de Polignac number, because 3813312138417 - 2⁴ = 3813312138401 is a prime.

It is a super-3 number, since 3×3813312138417³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3813312138457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20696184 + ... + 20879622.

It is an arithmetic number, because the mean of its divisors is an integer number (229863160800).

Almost surely, 2^{3813312138417} is an apocalyptic number.

It is an amenable number.

3813312138417 is a deficient number, since it is larger than the sum of its proper divisors (1703403720783).

3813312138417 is a wasteful number, since it uses less digits than its factorization.

3813312138417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187037 (or 187034 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 3813312138417 in words is "three trillion, eight hundred thirteen billion, three hundred twelve million, one hundred thirty-eight thousand, four hundred seventeen".