34484200 has 24 divisors (see below), whose sum is σ = 80176230. Its totient is φ = 13793600.

The previous prime is 34484189. The next prime is 34484201. The reversal of 34484200 is 248443.

34484200 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 3 ways, for example, as 33431524 + 1052676 = 5782^2 + 1026^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34484201) 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 5 ways as a sum of consecutive naturals, for example, 86011 + ... + 86410.

Almost surely, 2^34484200 is an apocalyptic number.

It is an amenable number.

34484200 is an abundant number, since it is smaller than the sum of its proper divisors (45692030).

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

34484200 is a wasteful number, since it uses less digits than its factorization.

34484200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172437 (or 172428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 34484200 is about 5872.3249228904. The cubic root of 34484200 is about 325.4917997970.

The spelling of 34484200 in words is "thirty-four million, four hundred eighty-four thousand, two hundred".