3123342144 has 84 divisors (see below), whose sum is σ = 9641172996. Its totient is φ = 961026048.

The previous prime is 3123342133. The next prime is 3123342169. The reversal of 3123342144 is 4412433213.

3123342144 is a `hidden beast` number, since 3 + 1 + 233 + 421 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1530374400 + 1592967744 = 39120^2 + 39912^2 .

It is a super-2 number, since 2×3123342144² = 19510532296973033472, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201069 + ... + 216044.

It is an arithmetic number, because the mean of its divisors is an integer number (114775869).

Almost surely, 2^3123342144 is an apocalyptic number.

It is an amenable number.

3123342144 is an abundant number, since it is smaller than the sum of its proper divisors (6517830852).

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

3123342144 is a wasteful number, since it uses less digits than its factorization.

3123342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417144 (or 417131 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3123342144 is about 55886.8691554644. The cubic root of 3123342144 is about 1461.7502846881.

Adding to 3123342144 its reverse (4412433213), we get a palindrome (7535775357).

The spelling of 3123342144 in words is "three billion, one hundred twenty-three million, three hundred forty-two thousand, one hundred forty-four".