3150144000 has 320 divisors, whose sum is σ = 11643540480. Its totient is φ = 839577600.

The previous prime is 3150143981. The next prime is 3150144059. The reversal of 3150144000 is 4410513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 1727089 + ... + 1728911.

It is an arithmetic number, because the mean of its divisors is an integer number (36386064).

Almost surely, 2^3150144000 is an apocalyptic number.

3150144000 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 3150144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821770240).

3150144000 is an abundant number, since it is smaller than the sum of its proper divisors (8493396480).

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

3150144000 is an equidigital number, since it uses as much as digits as its factorization.

3150144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3150144000 is about 56126.1436409094. The cubic root of 3150144000 is about 1465.9195460191.

Adding to 3150144000 its reverse (4410513), we get a palindrome (3154554513).

The spelling of 3150144000 in words is "three billion, one hundred fifty million, one hundred forty-four thousand".