3132533832 has 256 divisors, whose sum is σ = 9032601600. Its totient is φ = 900157440.

The previous prime is 3132533827. The next prime is 3132533869. The reversal of 3132533832 is 2383352313.

3132533832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3132533793 and 3132533802.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23912407 + ... + 23912537.

It is an arithmetic number, because the mean of its divisors is an integer number (35283600).

Almost surely, 2^3132533832 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 3132533832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516300800).

3132533832 is an abundant number, since it is smaller than the sum of its proper divisors (5900067768).

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

3132533832 is a wasteful number, since it uses less digits than its factorization.

3132533832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 3132533832 is about 55969.0435151433. The cubic root of 3132533832 is about 1463.1828093375.

The spelling of 3132533832 in words is "three billion, one hundred thirty-two million, five hundred thirty-three thousand, eight hundred thirty-two".