3240144000 has 192 divisors, whose sum is σ = 11636684280. Its totient is φ = 864000000.

The previous prime is 3240143993. The next prime is 3240144007. The reversal of 3240144000 is 4410423.

It is an interprime number because it is at equal distance from previous prime (3240143993) and next prime (3240144007).

It can be written as a sum of positive squares in 4 ways, for example, as 2170069056 + 1070074944 = 46584^2 + 32712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (3240144007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132750 + ... + 155250.

Almost surely, 2^3240144000 is an apocalyptic number.

3240144000 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 3240144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818342140).

3240144000 is an abundant number, since it is smaller than the sum of its proper divisors (8396540280).

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

3240144000 is a wasteful number, since it uses less digits than its factorization.

3240144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22536 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3240144000 is about 56922.2627800406. The cubic root of 3240144000 is about 1479.7491661586.

Adding to 3240144000 its reverse (4410423), we get a palindrome (3244554423).

It can be divided in two parts, 3240 and 144000, that multiplied together give a square (466560000 = 21600²).

The spelling of 3240144000 in words is "three billion, two hundred forty million, one hundred forty-four thousand".