3532500 has 90 divisors (see below), whose sum is σ = 11229218. Its totient is φ = 936000.

The previous prime is 3532483. The next prime is 3532511. The reversal of 3532500 is 52353.

It can be written as a sum of positive squares in 5 ways, for example, as 1758276 + 1774224 = 1326^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 22422 + ... + 22578.

Almost surely, 2^3532500 is an apocalyptic number.

3532500 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 3532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614609).

3532500 is an abundant number, since it is smaller than the sum of its proper divisors (7696718).

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

3532500 is a wasteful number, since it uses less digits than its factorization.

3532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3532500 is about 1879.4946129213. The cubic root of 3532500 is about 152.2979497429.

Adding to 3532500 its reverse (52353), we get a palindrome (3584853).

The spelling of 3532500 in words is "three million, five hundred thirty-two thousand, five hundred".