34006434345 has 72 divisors (see below), whose sum is σ = 63916459776. Its totient is φ = 16718292864.

The previous prime is 34006434331. The next prime is 34006434383. The reversal of 34006434345 is 54343460043.

34006434345 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 643 + 4 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 34006434345 - 2³³ = 25416499753 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6286632 + ... + 6292038.

It is an arithmetic number, because the mean of its divisors is an integer number (887728608).

Almost surely, 2^34006434345 is an apocalyptic number.

It is an amenable number.

34006434345 is a deficient number, since it is larger than the sum of its proper divisors (29910025431).

34006434345 is a wasteful number, since it uses less digits than its factorization.

34006434345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 34006434345 its reverse (54343460043), we get a palindrome (88349894388).

The spelling of 34006434345 in words is "thirty-four billion, six million, four hundred thirty-four thousand, three hundred forty-five".