3882282768 has 480 divisors, whose sum is σ = 14559068160. Its totient is φ = 936852480.

The previous prime is 3882282721. The next prime is 3882282791. The reversal of 3882282768 is 8672822883.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7718005 + ... + 7718507.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 2^3882282768 is an apocalyptic number.

3882282768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3882282768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

3882282768 is an abundant number, since it is smaller than the sum of its proper divisors (10676785392).

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

3882282768 is a wasteful number, since it uses less digits than its factorization.

3882282768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 578 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 3882282768 is about 62307.9671310178. The cubic root of 3882282768 is about 1571.6737080875.

The spelling of 3882282768 in words is "three billion, eight hundred eighty-two million, two hundred eighty-two thousand, seven hundred sixty-eight".