3648768 has 36 divisors (see below), whose sum is σ = 9713088. Its totient is φ = 1216000.

The previous prime is 3648767. The next prime is 3648769. The reversal of 3648768 is 8678463.

It is an interprime number because it is at equal distance from previous prime (3648767) and next prime (3648769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648767) 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, 1608 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (269808).

Almost surely, 2^3648768 is an apocalyptic number.

It is an amenable number.

3648768 is an abundant number, since it is smaller than the sum of its proper divisors (6064320).

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

3648768 is an equidigital number, since it uses as much as digits as its factorization.

3648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4756 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3648768 is about 1910.1748611057. The cubic root of 3648768 is about 153.9508473033.

The spelling of 3648768 in words is "three million, six hundred forty-eight thousand, seven hundred sixty-eight".