34006667333737 has 64 divisors (see below), whose sum is σ = 40190073606144. Its totient is φ = 28176203784960.

The previous prime is 34006667333677. The next prime is 34006667333759. The reversal of 34006667333737 is 73733376660043.

It is a de Polignac number, because none of the positive numbers 2^k-34006667333737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34006667333777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5007604812 + ... + 5007611602.

It is an arithmetic number, because the mean of its divisors is an integer number (627969900096).

Almost surely, 2^{34006667333737} is an apocalyptic number.

It is an amenable number.

34006667333737 is a deficient number, since it is larger than the sum of its proper divisors (6183406272407).

34006667333737 is a wasteful number, since it uses less digits than its factorization.

34006667333737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798.

The product of its (nonzero) digits is 72013536, while the sum is 58.

The spelling of 34006667333737 in words is "thirty-four trillion, six billion, six hundred sixty-seven million, three hundred thirty-three thousand, seven hundred thirty-seven".