34033214300 has 72 divisors (see below), whose sum is σ = 75663240576. Its totient is φ = 13280218560.

The previous prime is 34033214249. The next prime is 34033214309. The reversal of 34033214300 is 341233043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033214309) 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 23 ways as a sum of consecutive naturals, for example, 3809639 + ... + 3818561.

Almost surely, 2^34033214300 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 34033214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37831620288).

34033214300 is an abundant number, since it is smaller than the sum of its proper divisors (41630026276).

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

34033214300 is a wasteful number, since it uses less digits than its factorization.

34033214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 34033214300 its reverse (341233043), we get a palindrome (34374447343).

The spelling of 34033214300 in words is "thirty-four billion, thirty-three million, two hundred fourteen thousand, three hundred".