3282812064 has 480 divisors, whose sum is σ = 12118740480. Its totient is φ = 850010112.

The previous prime is 3282812063. The next prime is 3282812069. The reversal of 3282812064 is 4602182823.

3282812064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3282812063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8944809 + ... + 8945175.

It is an arithmetic number, because the mean of its divisors is an integer number (25247376).

Almost surely, 2^3282812064 is an apocalyptic number.

3282812064 is a gapful number since it is divisible by the number (34) 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 3282812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059370240).

3282812064 is an abundant number, since it is smaller than the sum of its proper divisors (8835928416).

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

3282812064 is a wasteful number, since it uses less digits than its factorization.

3282812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3282812064 is about 57295.8293770149. The cubic root of 3282812064 is about 1486.2162548835.

Adding to 3282812064 its reverse (4602182823), we get a palindrome (7884994887).

The spelling of 3282812064 in words is "three billion, two hundred eighty-two million, eight hundred twelve thousand, sixty-four".