3031042320 has 120 divisors (see below), whose sum is σ = 10280281752. Its totient is φ = 800256000.

The previous prime is 3031042303. The next prime is 3031042321. The reversal of 3031042320 is 232401303.

3031042320 is a `hidden beast` number, since 30 + 310 + 4 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1575772416 + 1455269904 = 39696^2 + 38148^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3031042293 and 3031042302.

It is not an unprimeable number, because it can be changed into a prime (3031042321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51880 + ... + 93560.

Almost surely, 2^3031042320 is an apocalyptic number.

3031042320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140140876).

3031042320 is an abundant number, since it is smaller than the sum of its proper divisors (7249239432).

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

3031042320 is a wasteful number, since it uses less digits than its factorization.

3031042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41801 (or 41792 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3031042320 is about 55054.9027789533. The cubic root of 3031042320 is about 1447.2070406789.

Adding to 3031042320 its reverse (232401303), we get a palindrome (3263443623).

The spelling of 3031042320 in words is "three billion, thirty-one million, forty-two thousand, three hundred twenty".