3628656 has 60 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 1193472.

The previous prime is 3628631. The next prime is 3628657. The reversal of 3628656 is 6568263.

It is a super-3 number, since 3×3628656³ (a number of 21 digits) contains 333 as substring.

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

It is a d-powerful number, because it can be written as 3⁹ + 6⁵ + 2¹⁷ + 8⁵ + 6⁸ + 5⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3628656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16161 + ... + 16383.

Almost surely, 2^3628656 is an apocalyptic number.

3628656 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 3628656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3628656 is an abundant number, since it is smaller than the sum of its proper divisors (6662352).

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

3628656 is a wasteful number, since it uses less digits than its factorization.

3628656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3628656 is about 1904.9031471442. The cubic root of 3628656 is about 153.6674671063.

The spelling of 3628656 in words is "three million, six hundred twenty-eight thousand, six hundred fifty-six".