3138144000 has 288 divisors, whose sum is σ = 10562051136. Its totient is φ = 825753600.

The previous prime is 3138143993. The next prime is 3138144001. The reversal of 3138144000 is 4418313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9311832 + ... + 9312168.

Almost surely, 2^3138144000 is an apocalyptic number.

3138144000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281025568).

3138144000 is an abundant number, since it is smaller than the sum of its proper divisors (7423907136).

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

3138144000 is an equidigital number, since it uses as much as digits as its factorization.

3138144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3138144000 is about 56019.1395863949. The cubic root of 3138144000 is about 1464.0557773846.

The spelling of 3138144000 in words is "three billion, one hundred thirty-eight million, one hundred forty-four thousand".