34400073667 has 32 divisors (see below), whose sum is σ = 37968537600. Its totient is φ = 31048012800.

The previous prime is 34400073649. The next prime is 34400073679. The reversal of 34400073667 is 76637000443.

It is a cyclic number.

It is not a de Polignac number, because 34400073667 - 2²³ = 34391685059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400073637) 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 31 ways as a sum of consecutive naturals, for example, 23102059 + ... + 23103547.

It is an arithmetic number, because the mean of its divisors is an integer number (1186516800).

Almost surely, 2^34400073667 is an apocalyptic number.

34400073667 is a deficient number, since it is larger than the sum of its proper divisors (3568463933).

34400073667 is a wasteful number, since it uses less digits than its factorization.

34400073667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227.

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 34400073667 in words is "thirty-four billion, four hundred million, seventy-three thousand, six hundred sixty-seven".