3251200 has 66 divisors (see below), whose sum is σ = 8122496. Its totient is φ = 1290240.

The previous prime is 3251197. The next prime is 3251207. The reversal of 3251200 is 21523.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25537 + ... + 25663.

Almost surely, 2^3251200 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 3251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061248).

3251200 is an abundant number, since it is smaller than the sum of its proper divisors (4871296).

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

3251200 is a wasteful number, since it uses less digits than its factorization.

3251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3251200 is about 1803.1084271335. The cubic root of 3251200 is about 148.1430319221.

Adding to 3251200 its reverse (21523), we get a palindrome (3272723).

It can be divided in two parts, 32 and 51200, that multiplied together give a square (1638400 = 1280²).

The spelling of 3251200 in words is "three million, two hundred fifty-one thousand, two hundred".