3282075648 has 192 divisors, whose sum is σ = 9814521600. Its totient is φ = 1055784960.

The previous prime is 3282075647. The next prime is 3282075653. The reversal of 3282075648 is 8465702823.

3282075648 is a `hidden beast` number, since 3 + 2 + 82 + 0 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3282075647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142093 + ... + 9142451.

It is an arithmetic number, because the mean of its divisors is an integer number (51117300).

Almost surely, 2^3282075648 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 3282075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907260800).

3282075648 is an abundant number, since it is smaller than the sum of its proper divisors (6532445952).

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

3282075648 is an equidigital number, since it uses as much as digits as its factorization.

3282075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3282075648 is about 57289.4025802329. The cubic root of 3282075648 is about 1486.1051148753.

The spelling of 3282075648 in words is "three billion, two hundred eighty-two million, seventy-five thousand, six hundred forty-eight".