34066335105 has 128 divisors (see below), whose sum is σ = 70195507200. Its totient is φ = 15491865600.

The previous prime is 34066335103. The next prime is 34066335167. The reversal of 34066335105 is 50153366043.

34066335105 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 633 + 5 + 10 + 5 = 666.

It is not a de Polignac number, because 34066335105 - 2¹ = 34066335103 is a prime.

It is a super-2 number, since 2×34066335105² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34066335105.

It is not an unprimeable number, because it can be changed into a prime (34066335103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7849026 + ... + 7853364.

It is an arithmetic number, because the mean of its divisors is an integer number (548402400).

Almost surely, 2^34066335105 is an apocalyptic number.

It is an amenable number.

34066335105 is an abundant number, since it is smaller than the sum of its proper divisors (36129172095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34066335105 is a wasteful number, since it uses less digits than its factorization.

34066335105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 34066335105 in words is "thirty-four billion, sixty-six million, three hundred thirty-five thousand, one hundred five".