3128821344 has 336 divisors, whose sum is σ = 10262745360. Its totient is φ = 930631680.

The previous prime is 3128821331. The next prime is 3128821357. The reversal of 3128821344 is 4431288213.

It is a happy number.

3128821344 is a `hidden beast` number, since 31 + 288 + 2 + 1 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (3128821331) and next prime (3128821357).

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 = 3128821299 and 3128821308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22838044 + ... + 22838180.

It is an arithmetic number, because the mean of its divisors is an integer number (30543885).

Almost surely, 2^3128821344 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 3128821344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131372680).

3128821344 is an abundant number, since it is smaller than the sum of its proper divisors (7133924016).

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

3128821344 is a wasteful number, since it uses less digits than its factorization.

3128821344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

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

The square root of 3128821344 is about 55935.8681348560. The cubic root of 3128821344 is about 1462.6045558386.

The spelling of 3128821344 in words is "three billion, one hundred twenty-eight million, eight hundred twenty-one thousand, three hundred forty-four".