3972261658417 has 16 divisors (see below), whose sum is σ = 4309597432000. Its totient is φ = 3639477749184.

The previous prime is 3972261658411. The next prime is 3972261658439. The reversal of 3972261658417 is 7148561622793.

It is a cyclic number.

It is not a de Polignac number, because 3972261658417 - 2¹¹ = 3972261656369 is a prime.

It is a super-3 number, since 3×3972261658417³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972261658411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7587259 + ... + 8093887.

It is an arithmetic number, because the mean of its divisors is an integer number (269349839500).

Almost surely, 2^{3972261658417} is an apocalyptic number.

It is an amenable number.

3972261658417 is a deficient number, since it is larger than the sum of its proper divisors (337335773583).

3972261658417 is a wasteful number, since it uses less digits than its factorization.

3972261658417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511120.

The product of its digits is 30481920, while the sum is 61.

The spelling of 3972261658417 in words is "three trillion, nine hundred seventy-two billion, two hundred sixty-one million, six hundred fifty-eight thousand, four hundred seventeen".