3286382328 has 256 divisors, whose sum is σ = 9799257600. Its totient is φ = 1018967040.

The previous prime is 3286382303. The next prime is 3286382357. The reversal of 3286382328 is 8232836823.

3286382328 is a `hidden beast` number, since 3 + 2 + 8 + 638 + 2 + 3 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25086823 + ... + 25086953.

It is an arithmetic number, because the mean of its divisors is an integer number (38278350).

Almost surely, 2^3286382328 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 3286382328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899628800).

3286382328 is an abundant number, since it is smaller than the sum of its proper divisors (6512875272).

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

3286382328 is a wasteful number, since it uses less digits than its factorization.

3286382328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3286382328 is about 57326.9773143500. The cubic root of 3286382328 is about 1486.7548441424.

The spelling of 3286382328 in words is "three billion, two hundred eighty-six million, three hundred eighty-two thousand, three hundred twenty-eight".