34221200 has 60 divisors (see below), whose sum is σ = 88554228. Its totient is φ = 12633600.

The previous prime is 34221193. The next prime is 34221203. The reversal of 34221200 is 212243.

It can be written as a sum of positive squares in 6 ways, for example, as 7139584 + 27081616 = 2672^2 + 5204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1910 + ... + 8490.

Almost surely, 2^34221200 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 34221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44277114).

34221200 is an abundant number, since it is smaller than the sum of its proper divisors (54333028).

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

34221200 is a wasteful number, since it uses less digits than its factorization.

34221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6601 counting only the distinct ones).

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

The square root of 34221200 is about 5849.8888878337. Note that the first 5 decimals coincide. The cubic root of 34221200 is about 324.6622131474.

Adding to 34221200 its reverse (212243), we get a palindrome (34433443).

The spelling of 34221200 in words is "thirty-four million, two hundred twenty-one thousand, two hundred".