3966138813 has 96 divisors (see below), whose sum is σ = 6797129472. Its totient is φ = 2012774400.

The previous prime is 3966138751. The next prime is 3966138829. The reversal of 3966138813 is 3188316693.

It is a happy number.

3966138813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3966138813 - 2⁸ = 3966138557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966138863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14114233 + ... + 14114513.

It is an arithmetic number, because the mean of its divisors is an integer number (70803432).

Almost surely, 2^3966138813 is an apocalyptic number.

It is an amenable number.

3966138813 is a deficient number, since it is larger than the sum of its proper divisors (2830990659).

3966138813 is a wasteful number, since it uses less digits than its factorization.

3966138813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 3966138813 is about 62977.2880727648. The cubic root of 3966138813 is about 1582.9090790724.

The spelling of 3966138813 in words is "three billion, nine hundred sixty-six million, one hundred thirty-eight thousand, eight hundred thirteen".