3644856 has 96 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 1108800.

The previous prime is 3644831. The next prime is 3644873. The reversal of 3644856 is 6584463.

3644856 is a `hidden beast` number, since 3 + 644 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3644856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51301 + ... + 51371.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 2^3644856 is an apocalyptic number.

3644856 is a gapful number since it is divisible by the number (36) 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 3644856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3644856 is an abundant number, since it is smaller than the sum of its proper divisors (7137864).

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

3644856 is a wasteful number, since it uses less digits than its factorization.

3644856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3644856 is about 1909.1505964695. The cubic root of 3644856 is about 153.8958085361.

The spelling of 3644856 in words is "three million, six hundred forty-four thousand, eight hundred fifty-six".