3882243648 has 224 divisors, whose sum is σ = 11007912960. Its totient is φ = 1205729280.

The previous prime is 3882243643. The next prime is 3882243667. The reversal of 3882243648 is 8463422883.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3882243597 and 3882243606.

It is not an unprimeable number, because it can be changed into a prime (3882243643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21688423 + ... + 21688601.

Almost surely, 2^3882243648 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 3882243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503956480).

3882243648 is an abundant number, since it is smaller than the sum of its proper divisors (7125669312).

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

3882243648 is a wasteful number, since it uses less digits than its factorization.

3882243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 3882243648 is about 62307.6532056857. The cubic root of 3882243648 is about 1571.6684290557.

The spelling of 3882243648 in words is "three billion, eight hundred eighty-two million, two hundred forty-three thousand, six hundred forty-eight".