3311384328 has 144 divisors (see below), whose sum is σ = 10819252080. Its totient is φ = 946082592.

The previous prime is 3311384327. The next prime is 3311384339. The reversal of 3311384328 is 8234831133.

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 = 3311384292 and 3311384301.

It is not an unprimeable number, because it can be changed into a prime (3311384327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77875 + ... + 112637.

It is an arithmetic number, because the mean of its divisors is an integer number (75133695).

Almost surely, 2^3311384328 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 3311384328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409626040).

3311384328 is an abundant number, since it is smaller than the sum of its proper divisors (7507867752).

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

3311384328 is a wasteful number, since it uses less digits than its factorization.

3311384328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34775 counting only the distinct ones).

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

The square root of 3311384328 is about 57544.6290108816. The cubic root of 3311384328 is about 1490.5156133330.

The spelling of 3311384328 in words is "three billion, three hundred eleven million, three hundred eighty-four thousand, three hundred twenty-eight".