3201531216 has 160 divisors (see below), whose sum is σ = 9172329600. Its totient is φ = 956178432.

The previous prime is 3201531211. The next prime is 3201531251. The reversal of 3201531216 is 6121351023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201531211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3051460 + ... + 3052508.

It is an arithmetic number, because the mean of its divisors is an integer number (57327060).

Almost surely, 2^3201531216 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 3201531216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586164800).

3201531216 is an abundant number, since it is smaller than the sum of its proper divisors (5970798384).

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

3201531216 is a wasteful number, since it uses less digits than its factorization.

3201531216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3201531216 is about 56582.0750414829. The cubic root of 3201531216 is about 1473.8476056419.

Adding to 3201531216 its reverse (6121351023), we get a palindrome (9322882239).

The spelling of 3201531216 in words is "three billion, two hundred one million, five hundred thirty-one thousand, two hundred sixteen".