3967968969 has 24 divisors (see below), whose sum is σ = 5982912000. Its totient is φ = 2531200320.

The previous prime is 3967968923. The next prime is 3967968973. The reversal of 3967968969 is 9698697693.

It is not a de Polignac number, because 3967968969 - 2⁹ = 3967968457 is a prime.

It is a super-2 number, since 2×3967968969² = 31489555477893845922, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3967968897 and 3967968906.

It is not an unprimeable number, because it can be changed into a prime (3967968919) 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, 55069 + ... + 104730.

It is an arithmetic number, because the mean of its divisors is an integer number (249288000).

Almost surely, 2^3967968969 is an apocalyptic number.

It is an amenable number.

3967968969 is a deficient number, since it is larger than the sum of its proper divisors (2014943031).

3967968969 is a wasteful number, since it uses less digits than its factorization.

3967968969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159925 (or 159922 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 72.

The square root of 3967968969 is about 62991.8166828041. The cubic root of 3967968969 is about 1583.1525169348.

The spelling of 3967968969 in words is "three billion, nine hundred sixty-seven million, nine hundred sixty-eight thousand, nine hundred sixty-nine".