3231664128 has 720 divisors, whose sum is σ = 12652960320. Its totient is φ = 802897920.

The previous prime is 3231664127. The next prime is 3231664141. The reversal of 3231664128 is 8214661323.

3231664128 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 6 + 641 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 a junction number, because it is equal to n+sod(n) for n = 3231664092 and 3231664101.

It is not an unprimeable number, because it can be changed into a prime (3231664127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140507125 + ... + 140507147.

It is an arithmetic number, because the mean of its divisors is an integer number (17573556).

Almost surely, 2^3231664128 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 3231664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326480160).

3231664128 is an abundant number, since it is smaller than the sum of its proper divisors (9421296192).

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

3231664128 is a wasteful number, since it uses less digits than its factorization.

3231664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3231664128 is about 56847.7275535267. The cubic root of 3231664128 is about 1478.4571406486.

The spelling of 3231664128 in words is "three billion, two hundred thirty-one million, six hundred sixty-four thousand, one hundred twenty-eight".