3216213760 has 144 divisors (see below), whose sum is σ = 7937064576. Its totient is φ = 1248067584.

The previous prime is 3216213743. The next prime is 3216213769. The reversal of 3216213760 is 673126123.

3216213760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216213769) 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, 11610742 + ... + 11611018.

It is an arithmetic number, because the mean of its divisors is an integer number (55118504).

Almost surely, 2^3216213760 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 3216213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968532288).

3216213760 is an abundant number, since it is smaller than the sum of its proper divisors (4720850816).

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

3216213760 is a wasteful number, since it uses less digits than its factorization.

3216213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3216213760 is about 56711.6721672003. The cubic root of 3216213760 is about 1476.0972412145.

Adding to 3216213760 its reverse (673126123), we get a palindrome (3889339883).

The spelling of 3216213760 in words is "three billion, two hundred sixteen million, two hundred thirteen thousand, seven hundred sixty".