3283305312 has 96 divisors (see below), whose sum is σ = 9877496832. Its totient is φ = 935460864.

The previous prime is 3283305307. The next prime is 3283305323. The reversal of 3283305312 is 2135033823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3283305312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239968 + ... + 253280.

It is an arithmetic number, because the mean of its divisors is an integer number (102890592).

Almost surely, 2^3283305312 is an apocalyptic number.

3283305312 is a gapful number since it is divisible by the number (32) 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 3283305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938748416).

3283305312 is an abundant number, since it is smaller than the sum of its proper divisors (6594191520).

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

3283305312 is a wasteful number, since it uses less digits than its factorization.

3283305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3283305312 is about 57300.1336124097. The cubic root of 3283305312 is about 1486.2906866480.

The spelling of 3283305312 in words is "three billion, two hundred eighty-three million, three hundred five thousand, three hundred twelve".