3638628 has 48 divisors (see below), whose sum is σ = 10783360. Its totient is φ = 1039392.

The previous prime is 3638573. The next prime is 3638639. The reversal of 3638628 is 8268363.

3638628 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-2 number, since 2×3638628² = 26479227444768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3638592 and 3638601.

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 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 3162.

Almost surely, 2^3638628 is an apocalyptic number.

It is an amenable number.

3638628 is an abundant number, since it is smaller than the sum of its proper divisors (7144732).

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

3638628 is a wasteful number, since it uses less digits than its factorization.

3638628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3638628 is about 1907.5188072467. The cubic root of 3638628 is about 153.8081041543.

The spelling of 3638628 in words is "three million, six hundred thirty-eight thousand, six hundred twenty-eight".