34083264005 has 32 divisors (see below), whose sum is σ = 47348582400. Its totient is φ = 23068982592.

The previous prime is 34083263993. The next prime is 34083264031. The reversal of 34083264005 is 50046238043.

It is a cyclic number.

It is not a de Polignac number, because 34083264005 - 2⁸ = 34083263749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652736 + ... + 3662054.

It is an arithmetic number, because the mean of its divisors is an integer number (1479643200).

Almost surely, 2^34083264005 is an apocalyptic number.

34083264005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34083264005 is a deficient number, since it is larger than the sum of its proper divisors (13265318395).

34083264005 is a wasteful number, since it uses less digits than its factorization.

34083264005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673.

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 34083264005 in words is "thirty-four billion, eighty-three million, two hundred sixty-four thousand, five".