3284354304 has 720 divisors, whose sum is σ = 13034964096. Its totient is φ = 802897920.

The previous prime is 3284354279. The next prime is 3284354309. The reversal of 3284354304 is 4034534823.

3284354304 is a `hidden beast` number, since 32 + 84 + 3 + 543 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284354309) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 193197304 + ... + 193197320.

Almost surely, 2^3284354304 is an apocalyptic number.

3284354304 is a gapful number since it is divisible by the number (34) 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 3284354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517482048).

3284354304 is an abundant number, since it is smaller than the sum of its proper divisors (9750609792).

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

3284354304 is an equidigital number, since it uses as much as digits as its factorization.

3284354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3284354304 is about 57309.2863679177. The cubic root of 3284354304 is about 1486.4489561234.

The spelling of 3284354304 in words is "three billion, two hundred eighty-four million, three hundred fifty-four thousand, three hundred four".