3744200 has 48 divisors (see below), whose sum is σ = 8840580. Its totient is φ = 1474560.

The previous prime is 3744187. The next prime is 3744217. The reversal of 3744200 is 24473.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 806404 + 2937796 = 898^2 + 1714^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19304 + ... + 19496.

Almost surely, 2^3744200 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 3744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420290).

3744200 is an abundant number, since it is smaller than the sum of its proper divisors (5096380).

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

3744200 is a wasteful number, since it uses less digits than its factorization.

3744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3744200 is about 1934.9935400409. The cubic root of 3744200 is about 155.2814864184.

Adding to 3744200 its reverse (24473), we get a palindrome (3768673).

The spelling of 3744200 in words is "three million, seven hundred forty-four thousand, two hundred".