34021203200 has 108 divisors (see below), whose sum is σ = 84349333068. Its totient is φ = 13585612800.

The previous prime is 34021203197. The next prime is 34021203221. The reversal of 34021203200 is 230212043.

It can be written as a sum of positive squares in 6 ways, for example, as 112190464 + 33909012736 = 10592^2 + 184144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4098254 + ... + 4106546.

Almost surely, 2^34021203200 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 34021203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42174666534).

34021203200 is an abundant number, since it is smaller than the sum of its proper divisors (50328129868).

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

34021203200 is an equidigital number, since it uses as much as digits as its factorization.

34021203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 34021203200 its reverse (230212043), we get a palindrome (34251415243).

The spelling of 34021203200 in words is "thirty-four billion, twenty-one million, two hundred three thousand, two hundred".