3525800 has 72 divisors (see below), whose sum is σ = 8850810. Its totient is φ = 1305600.

The previous prime is 3525779. The next prime is 3525803. The reversal of 3525800 is 85253.

3525800 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 9 ways, for example, as 206116 + 3319684 = 454^2 + 1822^2 .

It is not an unprimeable number, because it can be changed into a prime (3525803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57770 + ... + 57830.

Almost surely, 2^3525800 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 3525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425405).

3525800 is an abundant number, since it is smaller than the sum of its proper divisors (5325010).

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

3525800 is a wasteful number, since it uses less digits than its factorization.

3525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 3525800 is about 1877.7113729218. The cubic root of 3525800 is about 152.2016022965.

The spelling of 3525800 in words is "three million, five hundred twenty-five thousand, eight hundred".