3138325344 has 576 divisors, whose sum is σ = 12162286080. Its totient is φ = 777047040.

The previous prime is 3138325343. The next prime is 3138325349. The reversal of 3138325344 is 4435238313.

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

Its product of digits (103680) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 3138325299 and 3138325308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138325343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10710862 + ... + 10711154.

It is an arithmetic number, because the mean of its divisors is an integer number (21115080).

Almost surely, 2^3138325344 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 3138325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081143040).

3138325344 is an abundant number, since it is smaller than the sum of its proper divisors (9023960736).

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

3138325344 is a wasteful number, since it uses less digits than its factorization.

3138325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 339 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3138325344 is about 56020.7581526705. The cubic root of 3138325344 is about 1464.0839779831.

The spelling of 3138325344 in words is "three billion, one hundred thirty-eight million, three hundred twenty-five thousand, three hundred forty-four".