3232137216 has 384 divisors, whose sum is σ = 11116833120. Its totient is φ = 825753600.

The previous prime is 3232137199. The next prime is 3232137229. The reversal of 3232137216 is 6127312323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9072) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52985826 + ... + 52985886.

Almost surely, 2^3232137216 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 3232137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558416560).

3232137216 is an abundant number, since it is smaller than the sum of its proper divisors (7884695904).

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

3232137216 is an equidigital number, since it uses as much as digits as its factorization.

3232137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 3232137216 is about 56851.8884119077. Note that the first 3 decimals coincide. The cubic root of 3232137216 is about 1478.5292816237.

Adding to 3232137216 its reverse (6127312323), we get a palindrome (9359449539).

The spelling of 3232137216 in words is "three billion, two hundred thirty-two million, one hundred thirty-seven thousand, two hundred sixteen".