34533200 has 120 divisors (see below), whose sum is σ = 92832600. Its totient is φ = 12257280.

The previous prime is 34533197. The next prime is 34533209. The reversal of 34533200 is 233543.

34533200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6739216 + 27793984 = 2596^2 + 5272^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150686 + ... + 150914.

It is an arithmetic number, because the mean of its divisors is an integer number (773605).

Almost surely, 2^34533200 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 34533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46416300).

34533200 is an abundant number, since it is smaller than the sum of its proper divisors (58299400).

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

34533200 is a wasteful number, since it uses less digits than its factorization.

34533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 34533200 is about 5876.4955543249. The cubic root of 34533200 is about 325.6458950050.

Adding to 34533200 its reverse (233543), we get a palindrome (34766743).

The spelling of 34533200 in words is "thirty-four million, five hundred thirty-three thousand, two hundred".