3283967232 has 576 divisors, whose sum is σ = 12526940160. Its totient is φ = 824795136.

The previous prime is 3283967171. The next prime is 3283967251. The reversal of 3283967232 is 2327693823.

3283967232 is a `hidden beast` number, since 3 + 28 + 396 + 7 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466703 + ... + 14466929.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^3283967232 is an apocalyptic number.

3283967232 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 3283967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263470080).

3283967232 is an abundant number, since it is smaller than the sum of its proper divisors (9242972928).

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

3283967232 is a wasteful number, since it uses less digits than its factorization.

3283967232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3283967232 is about 57305.9092240931. The cubic root of 3283967232 is about 1486.3905595233.

The spelling of 3283967232 in words is "three billion, two hundred eighty-three million, nine hundred sixty-seven thousand, two hundred thirty-two".