3688848 has 40 divisors (see below), whose sum is σ = 10589600. Its totient is φ = 1229472.

The previous prime is 3688837. The next prime is 3688849. The reversal of 3688848 is 8488863.

3688848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3688849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3838 + ... + 4701.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 2^3688848 is an apocalyptic number.

It is an amenable number.

3688848 is an abundant number, since it is smaller than the sum of its proper divisors (6900752).

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

3688848 is a wasteful number, since it uses less digits than its factorization.

3688848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8544 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3688848 is about 1920.6373942002. The cubic root of 3688848 is about 154.5124883863.

It can be divided in two parts, 368 and 8848, that added together give a square (9216 = 96²).

The spelling of 3688848 in words is "three million, six hundred eighty-eight thousand, eight hundred forty-eight".