3684408 has 96 divisors (see below), whose sum is σ = 11586960. Its totient is φ = 967680.

The previous prime is 3684407. The next prime is 3684419. The reversal of 3684408 is 8044863.

It is an Ulam number.

3684408 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15168 + ... + 15408.

Almost surely, 2^3684408 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 3684408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793480).

3684408 is an abundant number, since it is smaller than the sum of its proper divisors (7902552).

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

3684408 is a wasteful number, since it uses less digits than its factorization.

3684408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3684408 is about 1919.4811799025. The cubic root of 3684408 is about 154.4504716559.

The spelling of 3684408 in words is "three million, six hundred eighty-four thousand, four hundred eight".