3121413444 has 72 divisors (see below), whose sum is σ = 8408574720. Its totient is φ = 974045952.

The previous prime is 3121413437. The next prime is 3121413479. The reversal of 3121413444 is 4443141213.

3121413444 is a `hidden beast` number, since 3 + 1 + 214 + 1 + 3 + 444 = 666.

3121413444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3121413444² = 19486443776767882272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189 + ... + 79020.

It is an arithmetic number, because the mean of its divisors is an integer number (116785760).

Almost surely, 2^3121413444 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 3121413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204287360).

3121413444 is an abundant number, since it is smaller than the sum of its proper divisors (5287161276).

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

3121413444 is a wasteful number, since it uses less digits than its factorization.

3121413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80289 (or 80284 counting only the distinct ones).

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

The square root of 3121413444 is about 55869.6110958363. The cubic root of 3121413444 is about 1461.4493401490.

Adding to 3121413444 its reverse (4443141213), we get a palindrome (7564554657).

The spelling of 3121413444 in words is "three billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred forty-four".