3967227693 has 64 divisors (see below), whose sum is σ = 6927648000. Its totient is φ = 2212116480.

The previous prime is 3967227689. The next prime is 3967227707.

3967227693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3967227693 - 2² = 3967227689 is a prime.

It is a super-2 number, since 2×3967227693² = 31477791136212204498, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967227643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299633 + ... + 1302681.

It is an arithmetic number, because the mean of its divisors is an integer number (108244500).

Almost surely, 2^3967227693 is an apocalyptic number.

3967227693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3967227693 is a deficient number, since it is larger than the sum of its proper divisors (2960420307).

3967227693 is a wasteful number, since it uses less digits than its factorization.

3967227693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3413 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 3967227693 is about 62985.9325008370. The cubic root of 3967227693 is about 1583.0539252657.

The spelling of 3967227693 in words is "three billion, nine hundred sixty-seven million, two hundred twenty-seven thousand, six hundred ninety-three".