3884928 has 64 divisors (see below), whose sum is σ = 10542720. Its totient is φ = 1267200.

The previous prime is 3884917. The next prime is 3884929. The reversal of 3884928 is 8294883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3884928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884929) 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, 25653 + ... + 25803.

It is an arithmetic number, because the mean of its divisors is an integer number (164730).

Almost surely, 2^3884928 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 3884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271360).

3884928 is an abundant number, since it is smaller than the sum of its proper divisors (6657792).

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

3884928 is a wasteful number, since it uses less digits than its factorization.

3884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3884928 is about 1971.0220698917. The cubic root of 3884928 is about 157.2030585553.

The spelling of 3884928 in words is "three million, eight hundred eighty-four thousand, nine hundred twenty-eight".