3283946784 has 72 divisors (see below), whose sum is σ = 9394781760. Its totient is φ = 1088078208.

The previous prime is 3283946767. The next prime is 3283946789. The reversal of 3283946784 is 4876493823.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3283946784.

It is not an unprimeable number, because it can be changed into a prime (3283946789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13957 + ... + 82235.

It is an arithmetic number, because the mean of its divisors is an integer number (130483080).

Almost surely, 2^3283946784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283946784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697390880).

3283946784 is an abundant number, since it is smaller than the sum of its proper divisors (6110834976).

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

3283946784 is a wasteful number, since it uses less digits than its factorization.

3283946784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68462 (or 68451 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3283946784 is about 57305.7308128951. The cubic root of 3283946784 is about 1486.3874744563.

The spelling of 3283946784 in words is "three billion, two hundred eighty-three million, nine hundred forty-six thousand, seven hundred eighty-four".