34110333340100 has 36 divisors (see below), whose sum is σ = 74022137735700. Its totient is φ = 13643632988160.

The previous prime is 34110333340043. The next prime is 34110333340117. The reversal of 34110333340100 is 104333301143.

It can be written as a sum of positive squares in 6 ways, for example, as 3444787968196 + 30665545371904 = 1856014^2 + 5537648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34110333340100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3507785 + ... + 8973584.

Almost surely, 2^{34110333340100} is an apocalyptic number.

It is an amenable number.

34110333340100 is an abundant number, since it is smaller than the sum of its proper divisors (39911804395600).

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

34110333340100 is a wasteful number, since it uses less digits than its factorization.

34110333340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508712 (or 12508705 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 34110333340100 its reverse (104333301143), we get a palindrome (34214666641243).

The spelling of 34110333340100 in words is "thirty-four trillion, one hundred ten billion, three hundred thirty-three million, three hundred forty thousand, one hundred".