34227200 has 132 divisors (see below), whose sum is σ = 97469952. Its totient is φ = 11673600.

The previous prime is 34227187. The next prime is 34227211. The reversal of 34227200 is 272243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179105 + ... + 179295.

Almost surely, 2^34227200 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 34227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48734976).

34227200 is an abundant number, since it is smaller than the sum of its proper divisors (63242752).

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

34227200 is a wasteful number, since it uses less digits than its factorization.

34227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34227200 is about 5850.4016956103. The cubic root of 34227200 is about 324.6811863711.

Adding to 34227200 its reverse (272243), we get a palindrome (34499443).

The spelling of 34227200 in words is "thirty-four million, two hundred twenty-seven thousand, two hundred".