3682224 has 120 divisors (see below), whose sum is σ = 12728352. Its totient is φ = 967680.

The previous prime is 3682223. The next prime is 3682229. The reversal of 3682224 is 4222863.

3682224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3682223) 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, 12964 + ... + 13244.

Almost surely, 2^3682224 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 3682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364176).

3682224 is an abundant number, since it is smaller than the sum of its proper divisors (9046128).

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

3682224 is a wasteful number, since it uses less digits than its factorization.

3682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3682224 is about 1918.9121918420. The cubic root of 3682224 is about 154.4199478464.

The spelling of 3682224 in words is "three million, six hundred eighty-two thousand, two hundred twenty-four".