3284328960 has 240 divisors, whose sum is σ = 12409562880. Its totient is φ = 796139520.

The previous prime is 3284328959. The next prime is 3284328977. The reversal of 3284328960 is 698234823.

3284328960 is a `hidden beast` number, since 328 + 43 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246961 + ... + 259919.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^3284328960 is an apocalyptic number.

3284328960 is a gapful number since it is divisible by the number (30) 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 3284328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204781440).

3284328960 is an abundant number, since it is smaller than the sum of its proper divisors (9125233920).

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

3284328960 is a wasteful number, since it uses less digits than its factorization.

3284328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3284328960 is about 57309.0652514940. The cubic root of 3284328960 is about 1486.4451326769.

The spelling of 3284328960 in words is "three billion, two hundred eighty-four million, three hundred twenty-eight thousand, nine hundred sixty".