3958217408097 has 12 divisors (see below), whose sum is σ = 5717698364560. Its totient is φ = 2638685504088.

The previous prime is 3958217408059. The next prime is 3958217408149. The reversal of 3958217408097 is 7908047128593.

3958217408097 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 217 + 408 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 3958217408097 - 2¹⁰ = 3958217407073 is a prime.

It is a super-2 number, since 2×3958217408097² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3958217408897) 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, 10309447 + ... + 10686492.

Almost surely, 2^{3958217408097} is an apocalyptic number.

It is an amenable number.

3958217408097 is a deficient number, since it is larger than the sum of its proper divisors (1759480956463).

3958217408097 is a wasteful number, since it uses less digits than its factorization.

3958217408097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016892 (or 21016889 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 3958217408097 in words is "three trillion, nine hundred fifty-eight billion, two hundred seventeen million, four hundred eight thousand, ninety-seven".