3686408 has 32 divisors (see below), whose sum is σ = 7616160. Its totient is φ = 1658880.

The previous prime is 3686401. The next prime is 3686411. The reversal of 3686408 is 8046863.

It is not an unprimeable number, because it can be changed into a prime (3686401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14216 + ... + 14472.

It is an arithmetic number, because the mean of its divisors is an integer number (238005).

Almost surely, 2^3686408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808080).

3686408 is an abundant number, since it is smaller than the sum of its proper divisors (3929752).

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

3686408 is a wasteful number, since it uses less digits than its factorization.

3686408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3686408 is about 1920.0020833322. The cubic root of 3686408 is about 154.4784132833.

It can be divided in two parts, 368 and 6408, that added together give a palindrome (6776).

The spelling of 3686408 in words is "three million, six hundred eighty-six thousand, four hundred eight".