3925584 has 100 divisors (see below), whose sum is σ = 12288276. Its totient is φ = 1202688.

The previous prime is 3925583. The next prime is 3925591. The reversal of 3925584 is 4855293.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 3240000 = 828^2 + 1800^2 .

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 3¹² + 9³ + 2²⁰ + 5⁸ + 5⁹ + 8² + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925583) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16732 + ... + 16964.

Almost surely, 2^3925584 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 3925584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144138).

3925584 is an abundant number, since it is smaller than the sum of its proper divisors (8362692).

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

3925584 is a wasteful number, since it uses less digits than its factorization.

3925584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3925584 is about 1981.3086584376. The cubic root of 3925584 is about 157.7495364090.

The spelling of 3925584 in words is "three million, nine hundred twenty-five thousand, five hundred eighty-four".