3966996693 has 32 divisors (see below), whose sum is σ = 5840520192. Its totient is φ = 2375049600.

The previous prime is 3966996673. The next prime is 3966996707.

3966996693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3966996693 - 2²⁰ = 3965948117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966996653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667721 + ... + 1670097.

It is an arithmetic number, because the mean of its divisors is an integer number (182516256).

Almost surely, 2^3966996693 is an apocalyptic number.

3966996693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3966996693 is a deficient number, since it is larger than the sum of its proper divisors (1873523499).

3966996693 is a wasteful number, since it uses less digits than its factorization.

3966996693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985.

The product of its digits is 76527504, while the sum is 66.

The square root of 3966996693 is about 62984.0987313465. The cubic root of 3966996693 is about 1583.0231991446.

The spelling of 3966996693 in words is "three billion, nine hundred sixty-six million, nine hundred ninety-six thousand, six hundred ninety-three".