3648512 has 44 divisors (see below), whose sum is σ = 8351760. Its totient is φ = 1560576.

The previous prime is 3648511. The next prime is 3648521. The reversal of 3648512 is 2158463.

It is not an unprimeable number, because it can be changed into a prime (3648511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6914 + ... + 7422.

Almost surely, 2^3648512 is an apocalyptic number.

3648512 is a gapful number since it is divisible by the number (32) 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 3648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175880).

3648512 is an abundant number, since it is smaller than the sum of its proper divisors (4703248).

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

3648512 is an equidigital number, since it uses as much as digits as its factorization.

3648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 518 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 3648512 is about 1910.1078503582. The cubic root of 3648512 is about 153.9472467876.

The spelling of 3648512 in words is "three million, six hundred forty-eight thousand, five hundred twelve".