3628608 has 28 divisors (see below), whose sum is σ = 9601200. Its totient is φ = 1209472.

The previous prime is 3628591. The next prime is 3628621. The reversal of 3628608 is 8068263.

3628608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3628608³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9258 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 2^3628608 is an apocalyptic number.

It is an amenable number.

3628608 is an abundant number, since it is smaller than the sum of its proper divisors (5972592).

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

3628608 is a wasteful number, since it uses less digits than its factorization.

3628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18904 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3628608 is about 1904.8905480368. The cubic root of 3628608 is about 153.6667895302. Note that the first 3 decimals are identical.

The spelling of 3628608 in words is "three million, six hundred twenty-eight thousand, six hundred eight".