3997584 has 120 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1182720.

The previous prime is 3997583. The next prime is 3997597. The reversal of 3997584 is 4857993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56269 + ... + 56339.

Almost surely, 2^3997584 is an apocalyptic number.

3997584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

3997584 is an abundant number, since it is smaller than the sum of its proper divisors (8537328).

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

3997584 is a wasteful number, since it uses less digits than its factorization.

3997584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3997584 is about 1999.3959087684. The cubic root of 3997584 is about 158.7081390856.

The spelling of 3997584 in words is "three million, nine hundred ninety-seven thousand, five hundred eighty-four".