3744306 has 40 divisors (see below), whose sum is σ = 8690220. Its totient is φ = 1203552.

The previous prime is 3744287. The next prime is 3744313. The reversal of 3744306 is 6034473.

It can be written as a sum of positive squares in 2 ways, for example, as 3744225 + 81 = 1935^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3744306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4300 + ... + 5096.

Almost surely, 2^3744306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345110).

3744306 is an abundant number, since it is smaller than the sum of its proper divisors (4945914).

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

3744306 is a wasteful number, since it uses less digits than its factorization.

3744306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3744306 is about 1935.0209301194. The cubic root of 3744306 is about 155.2829517677.

Adding to 3744306 its reverse (6034473), we get a palindrome (9778779).

The spelling of 3744306 in words is "three million, seven hundred forty-four thousand, three hundred six".