34228900 has 36 divisors (see below), whose sum is σ = 75034260. Its totient is φ = 13552000.

The previous prime is 34228849. The next prime is 34228907. The reversal of 34228900 is 982243.

It can be written as a sum of positive squares in 6 ways, for example, as 6687396 + 27541504 = 2586^2 + 5248^2 .

It is not an unprimeable number, because it can be changed into a prime (34228907) 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, 8406 + ... + 11794.

It is an arithmetic number, because the mean of its divisors is an integer number (2084285).

Almost surely, 2^34228900 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 34228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37517130).

34228900 is an abundant number, since it is smaller than the sum of its proper divisors (40805360).

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

34228900 is a wasteful number, since it uses less digits than its factorization.

34228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 34228900 is about 5850.5469829752. The cubic root of 34228900 is about 324.6865617146.

The spelling of 34228900 in words is "thirty-four million, two hundred twenty-eight thousand, nine hundred".