34004310100 has 36 divisors (see below), whose sum is σ = 74618466300. Its totient is φ = 13448892160.

The previous prime is 34004310083. The next prime is 34004310103. The reversal of 34004310100 is 101340043.

It can be written as a sum of positive squares in 6 ways, for example, as 6022380816 + 27981929284 = 77604^2 + 167278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004310103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1901455 + ... + 1919254.

It is an arithmetic number, because the mean of its divisors is an integer number (2072735175).

Almost surely, 2^34004310100 is an apocalyptic number.

It is an amenable number.

34004310100 is an abundant number, since it is smaller than the sum of its proper divisors (40614156200).

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

34004310100 is a wasteful number, since it uses less digits than its factorization.

34004310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820812 (or 3820805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34004310100 its reverse (101340043), we get a palindrome (34105650143).

The spelling of 34004310100 in words is "thirty-four billion, four million, three hundred ten thousand, one hundred".