3241123632 has 200 divisors, whose sum is σ = 9708548256. Its totient is φ = 1043103744.

The previous prime is 3241123583. The next prime is 3241123643. The reversal of 3241123632 is 2363211423.

3241123632 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 1 + 23 + 632 = 666.

3241123632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 3241123596 and 3241123605.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12323533 + ... + 12323795.

Almost surely, 2^3241123632 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 3241123632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854274128).

3241123632 is an abundant number, since it is smaller than the sum of its proper divisors (6467424624).

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

3241123632 is a wasteful number, since it uses less digits than its factorization.

3241123632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3241123632 is about 56930.8671284743. The cubic root of 3241123632 is about 1479.8982812974.

The spelling of 3241123632 in words is "three billion, two hundred forty-one million, one hundred twenty-three thousand, six hundred thirty-two".