3138371840 has 72 divisors (see below), whose sum is σ = 7533713880. Its totient is φ = 1252622336.

The previous prime is 3138371833. The next prime is 3138371861. The reversal of 3138371840 is 481738313.

It can be written as a sum of positive squares in 4 ways, for example, as 194658304 + 2943713536 = 13952^2 + 54256^2 .

It is a super-2 number, since 2×3138371840² = 19698755612209971200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3138371794 and 3138371803.

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 7 ways as a sum of consecutive naturals, for example, 649112 + ... + 653928.

It is an arithmetic number, because the mean of its divisors is an integer number (104634915).

Almost surely, 2^3138371840 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 3138371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766856940).

3138371840 is an abundant number, since it is smaller than the sum of its proper divisors (4395342040).

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

3138371840 is an equidigital number, since it uses as much as digits as its factorization.

3138371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 3138371840 is about 56021.1731401619. The cubic root of 3138371840 is about 1464.0912083480.

The spelling of 3138371840 in words is "three billion, one hundred thirty-eight million, three hundred seventy-one thousand, eight hundred forty".