3689648 has 40 divisors (see below), whose sum is σ = 7700400. Its totient is φ = 1707264.

The previous prime is 3689633. The next prime is 3689669. The reversal of 3689648 is 8469863.

3689648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3689648² = 27227004727808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3689599 and 3689608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15998 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (192510).

Almost surely, 2^3689648 is an apocalyptic number.

3689648 is a gapful number since it is divisible by the number (38) 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 3689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850200).

3689648 is an abundant number, since it is smaller than the sum of its proper divisors (4010752).

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

3689648 is a wasteful number, since it uses less digits than its factorization.

3689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 3689648 is about 1920.8456471044. The cubic root of 3689648 is about 154.5236572802.

The spelling of 3689648 in words is "three million, six hundred eighty-nine thousand, six hundred forty-eight".