3884688 has 60 divisors (see below), whose sum is σ = 11098620. Its totient is φ = 1267968.

The previous prime is 3884659. The next prime is 3884689. The reversal of 3884688 is 8864883.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 898704 = 1728^2 + 948^2 .

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

Its product of digits (294912) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (3884689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7378 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (184977).

Almost surely, 2^3884688 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 3884688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549310).

3884688 is an abundant number, since it is smaller than the sum of its proper divisors (7213932).

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

3884688 is a wasteful number, since it uses less digits than its factorization.

3884688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

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

The square root of 3884688 is about 1970.9611868325. The cubic root of 3884688 is about 157.1998213000.

The spelling of 3884688 in words is "three million, eight hundred eighty-four thousand, six hundred eighty-eight".