3124411144344 has 256 divisors, whose sum is σ = 9985876992000. Its totient is φ = 886661199360.

The previous prime is 3124411144321. The next prime is 3124411144441. The reversal of 3124411144344 is 4434411144213.

3124411144344 is a `hidden beast` number, since 3 + 124 + 41 + 11 + 443 + 44 = 666.

It is a super-3 number, since 3×3124411144344³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3124411144299 and 3124411144308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236172322 + ... + 236185550.

It is an arithmetic number, because the mean of its divisors is an integer number (39007332000).

Almost surely, 2^{3124411144344} 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 3124411144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992938496000).

3124411144344 is an abundant number, since it is smaller than the sum of its proper divisors (6861465847656).

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

3124411144344 is a wasteful number, since it uses less digits than its factorization.

3124411144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295 (or 14285 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 3124411144344 its reverse (4434411144213), we get a palindrome (7558822288557).

The spelling of 3124411144344 in words is "three trillion, one hundred twenty-four billion, four hundred eleven million, one hundred forty-four thousand, three hundred forty-four".