3968976165 has 64 divisors (see below), whose sum is σ = 7930386432. Its totient is φ = 1646726400.

The previous prime is 3968976149. The next prime is 3968976181. The reversal of 3968976165 is 5616798693.

It is an interprime number because it is at equal distance from previous prime (3968976149) and next prime (3968976181).

It is not a de Polignac number, because 3968976165 - 2⁴ = 3968976149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3968976099 and 3968976108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795619 + ... + 800591.

It is an arithmetic number, because the mean of its divisors is an integer number (123912288).

Almost surely, 2^3968976165 is an apocalyptic number.

3968976165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3968976165 is a deficient number, since it is larger than the sum of its proper divisors (3961410267).

3968976165 is a wasteful number, since it uses less digits than its factorization.

3968976165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690.

The product of its digits is 14696640, while the sum is 60.

The square root of 3968976165 is about 62999.8108330493. The cubic root of 3968976165 is about 1583.2864569932.

The spelling of 3968976165 in words is "three billion, nine hundred sixty-eight million, nine hundred seventy-six thousand, one hundred sixty-five".