3656224 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1413120.

The previous prime is 3656183. The next prime is 3656231. The reversal of 3656224 is 4226563.

It is a happy number.

It is a d-powerful number, because it can be written as 3⁹ + 6³ + 5⁹ + 6⁸ + 2⁹ + 2¹¹ + 4⁵ .

Its product of digits (8640) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 3656192 and 3656201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77769 + ... + 77815.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 2^3656224 is an apocalyptic number.

3656224 is a gapful number since it is divisible by the number (34) 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 3656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3656224 is an abundant number, since it is smaller than the sum of its proper divisors (5488352).

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

3656224 is a wasteful number, since it uses less digits than its factorization.

3656224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3656224 is about 1912.1255188925. The cubic root of 3656224 is about 154.0556385231.

The spelling of 3656224 in words is "three million, six hundred fifty-six thousand, two hundred twenty-four".