3285294336 has 288 divisors, whose sum is σ = 10454814720. Its totient is φ = 1013907456.

The previous prime is 3285294301. The next prime is 3285294379. The reversal of 3285294336 is 6334925823.

3285294336 is a `hidden beast` number, since 3 + 28 + 5 + 294 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3285294291 and 3285294300.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8577601 + ... + 8577983.

It is an arithmetic number, because the mean of its divisors is an integer number (36301440).

Almost surely, 2^3285294336 is an apocalyptic number.

3285294336 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 3285294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227407360).

3285294336 is an abundant number, since it is smaller than the sum of its proper divisors (7169520384).

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

3285294336 is a wasteful number, since it uses less digits than its factorization.

3285294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3285294336 is about 57317.4871745090. The cubic root of 3285294336 is about 1486.5907573388.

The spelling of 3285294336 in words is "three billion, two hundred eighty-five million, two hundred ninety-four thousand, three hundred thirty-six".