3121143444 has 72 divisors (see below), whose sum is σ = 8176601160. Its totient is φ = 1002661632.

The previous prime is 3121143353. The next prime is 3121143449. The reversal of 3121143444 is 4443411213.

3121143444 is a `hidden beast` number, since 3 + 1 + 211 + 4 + 3 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 3103604100 = 4188^2 + 55710^2 .

It is a super-2 number, since 2×3121143444² = 19483072796048362272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121143449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637534 + ... + 642410.

It is an arithmetic number, because the mean of its divisors is an integer number (113563905).

Almost surely, 2^3121143444 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 3121143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088300580).

3121143444 is an abundant number, since it is smaller than the sum of its proper divisors (5055457716).

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

3121143444 is a wasteful number, since it uses less digits than its factorization.

3121143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5524 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3121143444 is about 55867.1947031529. The cubic root of 3121143444 is about 1461.4072008312.

Adding to 3121143444 its reverse (4443411213), we get a palindrome (7564554657).

Subtracting 3121143444 from its reverse (4443411213), we obtain a square (1322267769 = 36363²).

The spelling of 3121143444 in words is "three billion, one hundred twenty-one million, one hundred forty-three thousand, four hundred forty-four".