3803268768 has 96 divisors (see below), whose sum is σ = 10784644416. Its totient is φ = 1166635008.

The previous prime is 3803268761. The next prime is 3803268769. The reversal of 3803268768 is 8678623083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3803268768.

It is not an unprimeable number, because it can be changed into a prime (3803268761) 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 15 ways as a sum of consecutive naturals, for example, 416055 + ... + 425097.

It is an arithmetic number, because the mean of its divisors is an integer number (112340046).

Almost surely, 2^3803268768 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 3803268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392322208).

3803268768 is an abundant number, since it is smaller than the sum of its proper divisors (6981375648).

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

3803268768 is a wasteful number, since it uses less digits than its factorization.

3803268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9406 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3803268768 is about 61670.6475399764. The cubic root of 3803268768 is about 1560.9380682809.

The spelling of 3803268768 in words is "three billion, eight hundred three million, two hundred sixty-eight thousand, seven hundred sixty-eight".