3997667993 has 8 divisors (see below), whose sum is σ = 4422517056. Its totient is φ = 3583056400.

The previous prime is 3997667987. The next prime is 3997668061.

3997667993 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3997667993 - 2²⁸ = 3729232537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3997667953) 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 7 ways as a sum of consecutive naturals, for example, 2558546 + ... + 2560107.

It is an arithmetic number, because the mean of its divisors is an integer number (552814632).

Almost surely, 2^3997667993 is an apocalyptic number.

It is an amenable number.

3997667993 is a deficient number, since it is larger than the sum of its proper divisors (424849063).

3997667993 is a wasteful number, since it uses less digits than its factorization.

3997667993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118735.

The product of its digits is 104162436, while the sum is 68.

The square root of 3997667993 is about 63227.1143814108. The cubic root of 3997667993 is about 1587.0925061358.

The spelling of 3997667993 in words is "three billion, nine hundred ninety-seven million, six hundred sixty-seven thousand, nine hundred ninety-three".