3272121216 has 432 divisors, whose sum is σ = 11895095160. Its totient is φ = 862977024.

The previous prime is 3272121211. The next prime is 3272121263. The reversal of 3272121216 is 6121212723.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3272121216 is a `hidden beast` number, since 327 + 2 + 121 + 216 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 3272121216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3272121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 251701626 + ... + 251701638.

Almost surely, 2^3272121216 is an apocalyptic number.

3272121216 is a gapful number since it is divisible by the number (36) 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 3272121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947547580).

3272121216 is an abundant number, since it is smaller than the sum of its proper divisors (8622973944).

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

3272121216 is an frugal number, since it uses more digits than its factorization.

3272121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 25 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 3272121216 is about 57202.4581290000. The cubic root of 3272121216 is about 1484.6011567043.

Multiplying 3272121216 by its product of digits (2016), we get a square (6596596371456 = 2568384²).

3272121216 divided by its product of digits (2016) gives a square (1623076 = 1274²).

Adding to 3272121216 its reverse (6121212723), we get a palindrome (9393333939).

The spelling of 3272121216 in words is "three billion, two hundred seventy-two million, one hundred twenty-one thousand, two hundred sixteen".