34006744073711 has 8 divisors (see below), whose sum is σ = 34416574738560. Its totient is φ = 33596916048472.

The previous prime is 34006744073707. The next prime is 34006744073713. The reversal of 34006744073711 is 11737044760043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34006744073711 - 2² = 34006744073707 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006744073713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41053316 + ... + 41873478.

It is an arithmetic number, because the mean of its divisors is an integer number (4302071842320).

Almost surely, 2^{34006744073711} is an apocalyptic number.

34006744073711 is a deficient number, since it is larger than the sum of its proper divisors (409830664849).

34006744073711 is an equidigital number, since it uses as much as digits as its factorization.

34006744073711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319805.

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 34006744073711 in words is "thirty-four trillion, six billion, seven hundred forty-four million, seventy-three thousand, seven hundred eleven".