3131440000 has 160 divisors (see below), whose sum is σ = 8397968040. Its totient is φ = 1155840000.

The previous prime is 3131439977. The next prime is 3131440009. The reversal of 3131440000 is 441313.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131440009) 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 19 ways as a sum of consecutive naturals, for example, 1038495 + ... + 1041505.

Almost surely, 2^3131440000 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 3131440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198984020).

3131440000 is an abundant number, since it is smaller than the sum of its proper divisors (5266528040).

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

3131440000 is an equidigital number, since it uses as much as digits as its factorization.

3131440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3131440000 is about 55959.2709030416. The cubic root of 3131440000 is about 1463.0124826321.

Adding to 3131440000 its reverse (441313), we get a palindrome (3131881313).

The spelling of 3131440000 in words is "three billion, one hundred thirty-one million, four hundred forty thousand".