3648576 has 56 divisors (see below), whose sum is σ = 9981184. Its totient is φ = 1175040.

The previous prime is 3648553. The next prime is 3648581. The reversal of 3648576 is 6758463.

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, 5646 + ... + 6258.

Almost surely, 2^3648576 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 3648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990592).

3648576 is an abundant number, since it is smaller than the sum of its proper divisors (6332608).

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

3648576 is a wasteful number, since it uses less digits than its factorization.

3648576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3648576 is about 1910.1246032655. The cubic root of 3648576 is about 153.9481469323.

It can be divided in two parts, 3648 and 576, that added together give a palindrome (4224).

The spelling of 3648576 in words is "three million, six hundred forty-eight thousand, five hundred seventy-six".