3882209280 has 208 divisors, whose sum is σ = 12526332480. Its totient is φ = 1026555904.

The previous prime is 3882209269. The next prime is 3882209293. The reversal of 3882209280 is 829022883.

It is a congruent number.

It is an unprimeable number.

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, 10997584 + ... + 10997936.

Almost surely, 2^3882209280 is an apocalyptic number.

3882209280 is a gapful number since it is divisible by the number (30) 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 3882209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263166240).

3882209280 is an abundant number, since it is smaller than the sum of its proper divisors (8644123200).

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

3882209280 is a wasteful number, since it uses less digits than its factorization.

3882209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3882209280 is about 62307.3774123097. The cubic root of 3882209280 is about 1571.6637912513.

The spelling of 3882209280 in words is "three billion, eight hundred eighty-two million, two hundred nine thousand, two hundred eighty".