344077667667 has 8 divisors (see below), whose sum is σ = 509744692880. Its totient is φ = 229385111760.

The previous prime is 344077667629. The next prime is 344077667707. The reversal of 344077667667 is 766766770443.

344077667667 is a `hidden beast` number, since 3 + 440 + 7 + 7 + 66 + 76 + 67 = 666.

It is not a de Polignac number, because 344077667667 - 2⁶ = 344077667603 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344077667627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6371808634 + ... + 6371808687.

It is an arithmetic number, because the mean of its divisors is an integer number (63718086610).

Almost surely, 2^344077667667 is an apocalyptic number.

344077667667 is a deficient number, since it is larger than the sum of its proper divisors (165667025213).

344077667667 is a wasteful number, since it uses less digits than its factorization.

344077667667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743617330 (or 12743617324 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 63.

The spelling of 344077667667 in words is "three hundred forty-four billion, seventy-seven million, six hundred sixty-seven thousand, six hundred sixty-seven".