3282188364 has 576 divisors, whose sum is σ = 11726131200. Its totient is φ = 793618560.

The previous prime is 3282188339. The next prime is 3282188411. The reversal of 3282188364 is 4638812823.

3282188364 is a `hidden beast` number, since 3 + 282 + 1 + 8 + 8 + 364 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105877029 + ... + 105877059.

Almost surely, 2^3282188364 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 3282188364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863065600).

3282188364 is an abundant number, since it is smaller than the sum of its proper divisors (8443942836).

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

3282188364 is a wasteful number, since it uses less digits than its factorization.

3282188364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3282188364 is about 57290.3863139358. The cubic root of 3282188364 is about 1486.1221270677.

The spelling of 3282188364 in words is "three billion, two hundred eighty-two million, one hundred eighty-eight thousand, three hundred sixty-four".