383664768 has 64 divisors (see below), whose sum is σ = 1023794400. Its totient is φ = 127300608.

The previous prime is 383664767. The next prime is 383664769. The reversal of 383664768 is 867466383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (383664767) and next prime (383664769).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 383664768.

It is not an unprimeable number, because it can be changed into a prime (383664767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85755 + ... + 90117.

Almost surely, 2^383664768 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 383664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511897200).

383664768 is an abundant number, since it is smaller than the sum of its proper divisors (640129632).

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

383664768 is a wasteful number, since it uses less digits than its factorization.

383664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609 (or 4597 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 383664768 is about 19587.3624564411. The cubic root of 383664768 is about 726.6366627157.

It can be divided in two parts, 38366 and 4768, that added together give a palindrome (43134).

The spelling of 383664768 in words is "three hundred eighty-three million, six hundred sixty-four thousand, seven hundred sixty-eight".