3967887693 has 32 divisors (see below), whose sum is σ = 6603005952. Its totient is φ = 2059041600.

The previous prime is 3967887683. The next prime is 3967887719.

It is a happy number.

3967887693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3967887693 - 2⁹ = 3967887181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967887653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220255 + ... + 237587.

It is an arithmetic number, because the mean of its divisors is an integer number (206343936).

Almost surely, 2^3967887693 is an apocalyptic number.

3967887693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3967887693 is a deficient number, since it is larger than the sum of its proper divisors (2635118259).

3967887693 is a wasteful number, since it uses less digits than its factorization.

3967887693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345.

The product of its digits is 82301184, while the sum is 66.

The square root of 3967887693 is about 62991.1715480828. The cubic root of 3967887693 is about 1583.1417076112.

The spelling of 3967887693 in words is "three billion, nine hundred sixty-seven million, eight hundred eighty-seven thousand, six hundred ninety-three".