3282284544 has 208 divisors, whose sum is σ = 10914343680. Its totient is φ = 852295680.

The previous prime is 3282284543. The next prime is 3282284549. The reversal of 3282284544 is 4454822823.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3282284496 and 3282284505.

It is not an unprimeable number, because it can be changed into a prime (3282284543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944442 + ... + 947910.

Almost surely, 2^3282284544 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 3282284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457171840).

3282284544 is an abundant number, since it is smaller than the sum of its proper divisors (7632059136).

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

3282284544 is a wasteful number, since it uses less digits than its factorization.

3282284544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3492 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 3282284544 is about 57291.2257156364. The cubic root of 3282284544 is about 1486.1366431785.

The spelling of 3282284544 in words is "three billion, two hundred eighty-two million, two hundred eighty-four thousand, five hundred forty-four".