34205005345 has 16 divisors (see below), whose sum is σ = 47030330880. Its totient is φ = 23394556224.

The previous prime is 34205005333. The next prime is 34205005349. The reversal of 34205005345 is 54350050243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34205005345 - 2⁵ = 34205005313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34205005349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242537 + ... + 1269766.

It is an arithmetic number, because the mean of its divisors is an integer number (2939395680).

Almost surely, 2^34205005345 is an apocalyptic number.

34205005345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34205005345 is a deficient number, since it is larger than the sum of its proper divisors (12825325535).

34205005345 is a wasteful number, since it uses less digits than its factorization.

34205005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512704.

The product of its (nonzero) digits is 36000, while the sum is 31.

Adding to 34205005345 its reverse (54350050243), we get a palindrome (88555055588).

The spelling of 34205005345 in words is "thirty-four billion, two hundred five million, five thousand, three hundred forty-five".