3882244080 has 640 divisors, whose sum is σ = 15119032320. Its totient is φ = 811008000.

The previous prime is 3882244057. The next prime is 3882244097. The reversal of 3882244080 is 804422883.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43620676 + ... + 43620764.

It is an arithmetic number, because the mean of its divisors is an integer number (23623488).

Almost surely, 2^3882244080 is an apocalyptic number.

3882244080 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 3882244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559516160).

3882244080 is an abundant number, since it is smaller than the sum of its proper divisors (11236788240).

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

3882244080 is a wasteful number, since it uses less digits than its factorization.

3882244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 3882244080 is about 62307.6566723545. The cubic root of 3882244080 is about 1571.6684873520.

The spelling of 3882244080 in words is "three billion, eight hundred eighty-two million, two hundred forty-four thousand, eighty".