3282771800 has 192 divisors, whose sum is σ = 9679737600. Its totient is φ = 1005580800.

The previous prime is 3282771773. The next prime is 3282771803. The reversal of 3282771800 is 81772823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282771803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906794 + ... + 910406.

It is an arithmetic number, because the mean of its divisors is an integer number (50415300).

Almost surely, 2^3282771800 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 3282771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839868800).

3282771800 is an abundant number, since it is smaller than the sum of its proper divisors (6396965800).

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

3282771800 is a wasteful number, since it uses less digits than its factorization.

3282771800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 3282771800 is about 57295.4780065582. The cubic root of 3282771800 is about 1486.2101786644.

The spelling of 3282771800 in words is "three billion, two hundred eighty-two million, seven hundred seventy-one thousand, eight hundred".