3528300 has 72 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 889920.

The previous prime is 3528293. The next prime is 3528311. The reversal of 3528300 is 38253.

3528300 is nontrivially palindromic in base 14.

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 23 ways as a sum of consecutive naturals, for example, 5391 + ... + 6009.

Almost surely, 2^3528300 is an apocalyptic number.

3528300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381600).

3528300 is an abundant number, since it is smaller than the sum of its proper divisors (7234900).

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

3528300 is a wasteful number, since it uses less digits than its factorization.

3528300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3528300 is about 1878.3769589728. The cubic root of 3528300 is about 152.2375670996.

It can be divided in two parts, 3528 and 300, that added together give a triangular number (3828 = T₈₇).

The spelling of 3528300 in words is "three million, five hundred twenty-eight thousand, three hundred".