3644256 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 860160.

The previous prime is 3644237. The next prime is 3644279. The reversal of 3644256 is 6524463.

It is a d-powerful number, because it can be written as 3⁷ + 6⁵ + 4² + 4⁵ + 2⁹ + 5⁹ + 6⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125650 + ... + 125678.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 2^3644256 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 3644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3644256 is an abundant number, since it is smaller than the sum of its proper divisors (9419424).

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

3644256 is a wasteful number, since it uses less digits than its factorization.

3644256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3644256 is about 1908.9934520579. The cubic root of 3644256 is about 153.8873635246.

The spelling of 3644256 in words is "three million, six hundred forty-four thousand, two hundred fifty-six".