3282183072 has 144 divisors (see below), whose sum is σ = 11136121920. Its totient is φ = 937754496.

The previous prime is 3282183071. The next prime is 3282183089. The reversal of 3282183072 is 2703812823.

It is a happy number.

3282183072 is a `hidden beast` number, since 328 + 21 + 8 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3282183071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3573 + ... + 81099.

It is an arithmetic number, because the mean of its divisors is an integer number (77334180).

Almost surely, 2^3282183072 is an apocalyptic number.

3282183072 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 3282183072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568060960).

3282183072 is an abundant number, since it is smaller than the sum of its proper divisors (7853938848).

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

3282183072 is a wasteful number, since it uses less digits than its factorization.

3282183072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77560 (or 77539 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3282183072 is about 57290.3401281577. The cubic root of 3282183072 is about 1486.1213283564.

Adding to 3282183072 its reverse (2703812823), we get a palindrome (5985995895).

The spelling of 3282183072 in words is "three billion, two hundred eighty-two million, one hundred eighty-three thousand, seventy-two".