34434800 has 60 divisors (see below), whose sum is σ = 85429056. Its totient is φ = 13324800.

The previous prime is 34434781. The next prime is 34434863. The reversal of 34434800 is 843443.

It is a happy number.

34434800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34434800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11012 + ... + 13788.

Almost surely, 2^34434800 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 34434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714528).

34434800 is an abundant number, since it is smaller than the sum of its proper divisors (50994256).

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

34434800 is a wasteful number, since it uses less digits than its factorization.

34434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 34434800 is about 5868.1172449091. The cubic root of 34434800 is about 325.3362988323.

The spelling of 34434800 in words is "thirty-four million, four hundred thirty-four thousand, eight hundred".