3984072113 has 16 divisors (see below), whose sum is σ = 4727808000. Its totient is φ = 3284860992.

The previous prime is 3984072109. The next prime is 3984072139. The reversal of 3984072113 is 3112704893.

It is not a de Polignac number, because 3984072113 - 2² = 3984072109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3984072143) 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, 18128 + ... + 91086.

It is an arithmetic number, because the mean of its divisors is an integer number (295488000).

Almost surely, 2^3984072113 is an apocalyptic number.

It is an amenable number.

3984072113 is a deficient number, since it is larger than the sum of its proper divisors (743735887).

3984072113 is a wasteful number, since it uses less digits than its factorization.

3984072113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73264.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 3984072113 is about 63119.5065966140. The cubic root of 3984072113 is about 1585.2912537179.

The spelling of 3984072113 in words is "three billion, nine hundred eighty-four million, seventy-two thousand, one hundred thirteen".