3283848432 has 160 divisors (see below), whose sum is σ = 10091616000. Its totient is φ = 1019278080.

The previous prime is 3283848427. The next prime is 3283848497. The reversal of 3283848432 is 2348483823.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480882 + ... + 487662.

It is an arithmetic number, because the mean of its divisors is an integer number (63072600).

Almost surely, 2^3283848432 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 3283848432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045808000).

3283848432 is an abundant number, since it is smaller than the sum of its proper divisors (6807767568).

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

3283848432 is a wasteful number, since it uses less digits than its factorization.

3283848432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6864 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 3283848432 is about 57304.8726724002. The cubic root of 3283848432 is about 1486.3726355394.

The spelling of 3283848432 in words is "three billion, two hundred eighty-three million, eight hundred forty-eight thousand, four hundred thirty-two".