2938679667 has 24 divisors (see below), whose sum is σ = 5292168960. Its totient is φ = 1526586480.

The previous prime is 2938679659. The next prime is 2938679671. The reversal of 2938679667 is 7669768392.

It is not a de Polignac number, because 2938679667 - 2³ = 2938679659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2938679677) 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 23 ways as a sum of consecutive naturals, for example, 2119567 + ... + 2120952.

It is an arithmetic number, because the mean of its divisors is an integer number (220507040).

Almost surely, 2^2938679667 is an apocalyptic number.

2938679667 is a deficient number, since it is larger than the sum of its proper divisors (2353489293).

2938679667 is a wasteful number, since it uses less digits than its factorization.

2938679667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240543 (or 4240540 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 2938679667 is about 54209.5901755400. The cubic root of 2938679667 is about 1432.3552669394.

The spelling of 2938679667 in words is "two billion, nine hundred thirty-eight million, six hundred seventy-nine thousand, six hundred sixty-seven".