3286432656 has 320 divisors, whose sum is σ = 11136787200. Its totient is φ = 918134784.

The previous prime is 3286432651. The next prime is 3286432693. The reversal of 3286432656 is 6562346823.

It is a happy number.

3286432656 is a `hidden beast` number, since 328 + 64 + 3 + 265 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3286432651) by changing a digit.

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, 2768095 + ... + 2769281.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 2^3286432656 is an apocalyptic number.

3286432656 is a gapful number since it is divisible by the number (36) 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 3286432656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568393600).

3286432656 is an abundant number, since it is smaller than the sum of its proper divisors (7850354544).

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

3286432656 is a wasteful number, since it uses less digits than its factorization.

3286432656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3286432656 is about 57327.4162683092. The cubic root of 3286432656 is about 1486.7624335430.

The spelling of 3286432656 in words is "three billion, two hundred eighty-six million, four hundred thirty-two thousand, six hundred fifty-six".