3884544 has 80 divisors (see below), whose sum is σ = 11539440. Its totient is φ = 1290240.

The previous prime is 3884537. The next prime is 3884591. The reversal of 3884544 is 4454883.

3884544 is a `hidden beast` number, since 38 + 84 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹³ + 8⁵ + 8⁷ + 4⁴ + 5⁷ + 4⁷ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 3884499 and 3884508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13684 + ... + 13964.

It is an arithmetic number, because the mean of its divisors is an integer number (144243).

Almost surely, 2^3884544 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 3884544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769720).

3884544 is an abundant number, since it is smaller than the sum of its proper divisors (7654896).

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

3884544 is an equidigital number, since it uses as much as digits as its factorization.

3884544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3884544 is about 1970.9246560942. The cubic root of 3884544 is about 157.1978788829.

The spelling of 3884544 in words is "three million, eight hundred eighty-four thousand, five hundred forty-four".