3909888 has 54 divisors (see below), whose sum is σ = 11279814. Its totient is φ = 1302528.

The previous prime is 3909853. The next prime is 3909889. The reversal of 3909888 is 8889093.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 36864 = 1968^2 + 192^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3909889) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1456 + ... + 3152.

Almost surely, 2^3909888 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 3909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639907).

3909888 is an abundant number, since it is smaller than the sum of its proper divisors (7369926).

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

3909888 is a wasteful number, since it uses less digits than its factorization.

3909888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3909888 is about 1977.3436727084. The cubic root of 3909888 is about 157.5390077230.

Adding to 3909888 its product of nonzero digits (124416), we get a palindrome (4034304).

The spelling of 3909888 in words is "three million, nine hundred nine thousand, eight hundred eighty-eight".