3011132320 has 144 divisors (see below), whose sum is σ = 8315032320. Its totient is φ = 1027428864.

The previous prime is 3011132279. The next prime is 3011132323. The reversal of 3011132320 is 232311103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3011132294 and 3011132303.

It is not an unprimeable number, because it can be changed into a prime (3011132323) 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 23 ways as a sum of consecutive naturals, for example, 1872957 + ... + 1874563.

It is an arithmetic number, because the mean of its divisors is an integer number (57743280).

Almost surely, 2^3011132320 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 3011132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157516160).

3011132320 is an abundant number, since it is smaller than the sum of its proper divisors (5303900000).

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

3011132320 is a wasteful number, since it uses less digits than its factorization.

3011132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3011132320 is about 54873.7853624114. The cubic root of 3011132320 is about 1444.0313219777.

Adding to 3011132320 its reverse (232311103), we get a palindrome (3243443423).

The spelling of 3011132320 in words is "three billion, eleven million, one hundred thirty-two thousand, three hundred twenty".