3967667693 has 24 divisors (see below), whose sum is σ = 4541519136. Its totient is φ = 3437359200.

The previous prime is 3967667659. The next prime is 3967667699.

3967667693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3967667693 - 2¹⁴ = 3967651309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967667699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785323 + ... + 1787543.

It is an arithmetic number, because the mean of its divisors is an integer number (189229964).

Almost surely, 2^3967667693 is an apocalyptic number.

It is an amenable number.

3967667693 is a deficient number, since it is larger than the sum of its proper divisors (573851443).

3967667693 is a wasteful number, since it uses less digits than its factorization.

3967667693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2562 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 62.

The square root of 3967667693 is about 62989.4252474175. The cubic root of 3967667693 is about 1583.1124479110.

The spelling of 3967667693 in words is "three billion, nine hundred sixty-seven million, six hundred sixty-seven thousand, six hundred ninety-three".