3200 has 24 divisors (see below), whose sum is σ = 7905. Its totient is φ = 1280.

The previous prime is 3191. The next prime is 3203. The reversal of 3200 is 23.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3200 is nontrivially palindromic in base 7.

3200 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 64 = 56^2 + 8^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=40.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 8, base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 638 + ... + 642.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200

3200 is an abundant number, since it is smaller than the sum of its proper divisors (4705).

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

3200 is an equidigital number, since it uses as much as digits as its factorization.

3200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 3200 is about 56.5685424949. The cubic root of 3200 is about 14.7361259946.

Adding to 3200 its reverse (23), we get a palindrome (3223).

The spelling of 3200 in words is "three thousand, two hundred", and thus it is an iban number.

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