34010220200 has 144 divisors (see below), whose sum is σ = 87692004540. Its totient is φ = 12256921600.

The previous prime is 34010220193. The next prime is 34010220203. The reversal of 34010220200 is 202201043.

It can be written as a sum of positive squares in 6 ways, for example, as 13498276 + 33996721924 = 3674^2 + 184382^2 .

It is not an unprimeable number, because it can be changed into a prime (34010220203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2728382 + ... + 2740818.

Almost surely, 2^34010220200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846002270).

34010220200 is an abundant number, since it is smaller than the sum of its proper divisors (53681784340).

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

34010220200 is a wasteful number, since it uses less digits than its factorization.

34010220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 34010220200 its reverse (202201043), we get a palindrome (34212421243).

The spelling of 34010220200 in words is "thirty-four billion, ten million, two hundred twenty thousand, two hundred".