3441200 has 60 divisors (see below), whose sum is σ = 9456240. Its totient is φ = 1178880.

The previous prime is 3441197. The next prime is 3441203. The reversal of 3441200 is 21443.

It is an interprime number because it is at equal distance from previous prime (3441197) and next prime (3441203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (3441203) 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 11 ways as a sum of consecutive naturals, for example, 2186 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (157604).

Almost surely, 2^3441200 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 3441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728120).

3441200 is an abundant number, since it is smaller than the sum of its proper divisors (6015040).

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

3441200 is a wasteful number, since it uses less digits than its factorization.

3441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3441200 is about 1855.0471692116. The cubic root of 3441200 is about 150.9743973667.

Adding to 3441200 its reverse (21443), we get a palindrome (3462643).

The spelling of 3441200 in words is "three million, four hundred forty-one thousand, two hundred".