3126438144 has 108 divisors (see below), whose sum is σ = 9488861200. Its totient is φ = 987282432.

The previous prime is 3126438131. The next prime is 3126438151. The reversal of 3126438144 is 4418346213.

3126438144 is a `hidden beast` number, since 3 + 1 + 2 + 643 + 8 + 1 + 4 + 4 = 666.

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 = 3126438099 and 3126438108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8067 + ... + 79485.

Almost surely, 2^3126438144 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 3126438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744430600).

3126438144 is an abundant number, since it is smaller than the sum of its proper divisors (6362423056).

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

3126438144 is a wasteful number, since it uses less digits than its factorization.

3126438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71460 (or 71443 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3126438144 is about 55914.5611088918. The cubic root of 3126438144 is about 1462.2331098345.

The spelling of 3126438144 in words is "three billion, one hundred twenty-six million, four hundred thirty-eight thousand, one hundred forty-four".