3243600 has 180 divisors, whose sum is σ = 12143196. Its totient is φ = 798720.

The previous prime is 3243589. The next prime is 3243613. The reversal of 3243600 is 63423.

3243600 is nontrivially palindromic in base 7.

3243600 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1801²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 3196944 = 216^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 61174 + ... + 61226.

Almost surely, 2^3243600 is an apocalyptic number.

3243600 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 3243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071598).

3243600 is an abundant number, since it is smaller than the sum of its proper divisors (8899596).

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

3243600 is a wasteful number, since it uses less digits than its factorization.

3243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3243600 is about 1800.9997223764. Note that the first 3 decimals coincide. The cubic root of 3243600 is about 148.0275088871.

It can be divided in two parts, 324 and 3600, that multiplied together give a square (1166400 = 1080²).

The spelling of 3243600 in words is "three million, two hundred forty-three thousand, six hundred".