3628856 has 64 divisors (see below), whose sum is σ = 8743680. Its totient is φ = 1370880.

The previous prime is 3628853. The next prime is 3628883. The reversal of 3628856 is 6588263.

It is a d-powerful number, because it can be written as 3 + 6⁸ + 2⁸ + 8⁴ + 8⁶ + 5⁵ + 6⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26420 + ... + 26556.

It is an arithmetic number, because the mean of its divisors is an integer number (136620).

Almost surely, 2^3628856 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 3628856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371840).

3628856 is an abundant number, since it is smaller than the sum of its proper divisors (5114824).

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

3628856 is a wasteful number, since it uses less digits than its factorization.

3628856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 3628856 is about 1904.9556425282. The cubic root of 3628856 is about 153.6702902754.

The spelling of 3628856 in words is "three million, six hundred twenty-eight thousand, eight hundred fifty-six".