3686144 has 108 divisors (see below), whose sum is σ = 9786672. Its totient is φ = 1351680.

The previous prime is 3686131. The next prime is 3686153. The reversal of 3686144 is 4416863.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3686144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216824 + ... + 216840.

Almost surely, 2^3686144 is an apocalyptic number.

3686144 is a gapful number since it is divisible by the number (34) 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 3686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893336).

3686144 is an abundant number, since it is smaller than the sum of its proper divisors (6100528).

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

3686144 is a wasteful number, since it uses less digits than its factorization.

3686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3686144 is about 1919.9333321759. The cubic root of 3686144 is about 154.4747255675.

The spelling of 3686144 in words is "three million, six hundred eighty-six thousand, one hundred forty-four".