34521800 has 48 divisors (see below), whose sum is σ = 81105300. Its totient is φ = 13664000.

The previous prime is 34521793. The next prime is 34521847. The reversal of 34521800 is 812543.

It can be written as a sum of positive squares in 6 ways, for example, as 16662724 + 17859076 = 4082^2 + 4226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19346 + ... + 21054.

Almost surely, 2^34521800 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 34521800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40552650).

34521800 is an abundant number, since it is smaller than the sum of its proper divisors (46583500).

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

34521800 is a wasteful number, since it uses less digits than its factorization.

34521800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 34521800 is about 5875.5255084120. The cubic root of 34521800 is about 325.6100573011.

The spelling of 34521800 in words is "thirty-four million, five hundred twenty-one thousand, eight hundred".