3241200 has 120 divisors (see below), whose sum is σ = 10809328. Its totient is φ = 829440.

The previous prime is 3241159. The next prime is 3241201. The reversal of 3241200 is 21423.

3241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44364 + ... + 44436.

Almost surely, 2^3241200 is an apocalyptic number.

3241200 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 3241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404664).

3241200 is an abundant number, since it is smaller than the sum of its proper divisors (7568128).

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

3241200 is a wasteful number, since it uses less digits than its factorization.

3241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3241200 is about 1800.3333024749. Note that the first 4 decimals coincide. The cubic root of 3241200 is about 147.9909904425.

Adding to 3241200 its reverse (21423), we get a palindrome (3262623).

The spelling of 3241200 in words is "three million, two hundred forty-one thousand, two hundred".