3282801312 has 192 divisors, whose sum is σ = 10059033600. Its totient is φ = 918128640.

The previous prime is 3282801289. The next prime is 3282801341. The reversal of 3282801312 is 2131082823.

It is a self number, because there is not a number n which added to its sum of digits gives 3282801312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7834639 + ... + 7835057.

It is an arithmetic number, because the mean of its divisors is an integer number (52390800).

Almost surely, 2^3282801312 is an apocalyptic number.

3282801312 is a gapful number since it is divisible by the number (32) 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 3282801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029516800).

3282801312 is an abundant number, since it is smaller than the sum of its proper divisors (6776232288).

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

3282801312 is a wasteful number, since it uses less digits than its factorization.

3282801312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3282801312 is about 57295.7355481191. The cubic root of 3282801312 is about 1486.2146323097.

The spelling of 3282801312 in words is "three billion, two hundred eighty-two million, eight hundred one thousand, three hundred twelve".