3648648 has 16 divisors (see below), whose sum is σ = 9121680. Its totient is φ = 1216208.

The previous prime is 3648647. The next prime is 3648649. The reversal of 3648648 is 8468463.

3648648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3648647) and next prime (3648649).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3648643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75990 + ... + 76037.

It is an arithmetic number, because the mean of its divisors is an integer number (570105).

Almost surely, 2^3648648 is an apocalyptic number.

It is an amenable number.

3648648 is an abundant number, since it is smaller than the sum of its proper divisors (5473032).

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

3648648 is a wasteful number, since it uses less digits than its factorization.

3648648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152036 (or 152032 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3648648 is about 1910.1434501105. The cubic root of 3648648 is about 153.9491595825.

It can be divided in two parts, 36 and 48648, that added together give a palindrome (48684).

The spelling of 3648648 in words is "three million, six hundred forty-eight thousand, six hundred forty-eight".