383643648 has 104 divisors (see below), whose sum is σ = 1136910800. Its totient is φ = 127844352.

The previous prime is 383643643. The next prime is 383643653. The reversal of 383643648 is 846346383.

It is an interprime number because it is at equal distance from previous prime (383643643) and next prime (383643653).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383643643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108858 + ... + 112326.

Almost surely, 2^383643648 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 383643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568455400).

383643648 is an abundant number, since it is smaller than the sum of its proper divisors (753267152).

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

383643648 is an equidigital number, since it uses as much as digits as its factorization.

383643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3474 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 383643648 is about 19586.8233258995. The cubic root of 383643648 is about 726.6233291589.

The spelling of 383643648 in words is "three hundred eighty-three million, six hundred forty-three thousand, six hundred forty-eight".