34004066667 has 16 divisors (see below), whose sum is σ = 47697120000. Its totient is φ = 21516694304.

The previous prime is 34004066651. The next prime is 34004066683. The reversal of 34004066667 is 76666040043.

It is an interprime number because it is at equal distance from previous prime (34004066651) and next prime (34004066683).

It is not a de Polignac number, because 34004066667 - 2⁴ = 34004066651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34004061667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307167 + ... + 3317432.

It is an arithmetic number, because the mean of its divisors is an integer number (2981070000).

Almost surely, 2^34004066667 is an apocalyptic number.

34004066667 is a deficient number, since it is larger than the sum of its proper divisors (13693053333).

34004066667 is a wasteful number, since it uses less digits than its factorization.

34004066667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624690.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 34004066667 in words is "thirty-four billion, four million, sixty-six thousand, six hundred sixty-seven".