3132844128 has 240 divisors, whose sum is σ = 9616932864. Its totient is φ = 999371520.

The previous prime is 3132844093. The next prime is 3132844147. The reversal of 3132844128 is 8214482313.

It is a happy number.

3132844128 is a `hidden beast` number, since 313 + 284 + 41 + 28 = 666.

3132844128 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 (36).

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 = 3132844092 and 3132844101.

It is a congruent number.

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, 10204551 + ... + 10204857.

Almost surely, 2^3132844128 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 3132844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808466432).

3132844128 is an abundant number, since it is smaller than the sum of its proper divisors (6484088736).

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

3132844128 is a wasteful number, since it uses less digits than its factorization.

3132844128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3132844128 is about 55971.8154788640. The cubic root of 3132844128 is about 1463.2311200456.

The spelling of 3132844128 in words is "three billion, one hundred thirty-two million, eight hundred forty-four thousand, one hundred twenty-eight".