34042330300 has 144 divisors (see below), whose sum is σ = 84221609472. Its totient is φ = 11833113600.

The previous prime is 34042330271. The next prime is 34042330303. The reversal of 34042330300 is 303324043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042330303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2215444 + ... + 2230756.

It is an arithmetic number, because the mean of its divisors is an integer number (584872288).

Almost surely, 2^34042330300 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 34042330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42110804736).

34042330300 is an abundant number, since it is smaller than the sum of its proper divisors (50179279172).

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

34042330300 is a wasteful number, since it uses less digits than its factorization.

34042330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 34042330300 its reverse (303324043), we get a palindrome (34345654343).

The spelling of 34042330300 in words is "thirty-four billion, forty-two million, three hundred thirty thousand, three hundred".