3281215872 has 128 divisors (see below), whose sum is σ = 9531043200. Its totient is φ = 991907840.

The previous prime is 3281215871. The next prime is 3281215891. The reversal of 3281215872 is 2785121823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3281215872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281215871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605579 + ... + 2606837.

It is an arithmetic number, because the mean of its divisors is an integer number (74461275).

Almost surely, 2^3281215872 is an apocalyptic number.

3281215872 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 3281215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765521600).

3281215872 is an abundant number, since it is smaller than the sum of its proper divisors (6249827328).

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

3281215872 is a wasteful number, since it uses less digits than its factorization.

3281215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 3281215872 is about 57281.8982925671. The cubic root of 3281215872 is about 1485.9753363210.

It can be divided in two parts, 32812 and 15872, that added together give a palindrome (48684).

The spelling of 3281215872 in words is "three billion, two hundred eighty-one million, two hundred fifteen thousand, eight hundred seventy-two".