3968448693 has 16 divisors (see below), whose sum is σ = 5807709696. Its totient is φ = 2390361840.

The previous prime is 3968448689. The next prime is 3968448709.

3968448693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3968448693 - 2² = 3968448689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968448613) 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 15 ways as a sum of consecutive naturals, for example, 363505 + ... + 374262.

It is an arithmetic number, because the mean of its divisors is an integer number (362981856).

Almost surely, 2^3968448693 is an apocalyptic number.

3968448693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3968448693 is a deficient number, since it is larger than the sum of its proper divisors (1839261003).

3968448693 is a wasteful number, since it uses less digits than its factorization.

3968448693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737944.

The product of its digits is 26873856, while the sum is 60.

The square root of 3968448693 is about 62995.6243956674. The cubic root of 3968448693 is about 1583.2163149517.

The spelling of 3968448693 in words is "three billion, nine hundred sixty-eight million, four hundred forty-eight thousand, six hundred ninety-three".