3131068440 has 64 divisors (see below), whose sum is σ = 9423912960. Its totient is φ = 832222080.

The previous prime is 3131068393. The next prime is 3131068441. The reversal of 3131068440 is 448601313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3131068398 and 3131068407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131068441) 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 15 ways as a sum of consecutive naturals, for example, 5656 + ... + 79335.

It is an arithmetic number, because the mean of its divisors is an integer number (147248640).

Almost surely, 2^3131068440 is an apocalyptic number.

3131068440 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 3131068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711956480).

3131068440 is an abundant number, since it is smaller than the sum of its proper divisors (6292844520).

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

3131068440 is a wasteful number, since it uses less digits than its factorization.

3131068440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85312 (or 85308 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3131068440 is about 55955.9508899634. The cubic root of 3131068440 is about 1462.9546159190.

Adding to 3131068440 its reverse (448601313), we get a palindrome (3579669753).

The spelling of 3131068440 in words is "three billion, one hundred thirty-one million, sixty-eight thousand, four hundred forty".