3144960000 has 960 divisors, whose sum is σ = 14327913600. Its totient is φ = 663552000.

The previous prime is 3144959989. The next prime is 3144960001. The reversal of 3144960000 is 694413.

3144960000 is a `hidden beast` number, since 3 + 14 + 49 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144960001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241919994 + ... + 241920006.

It is an arithmetic number, because the mean of its divisors is an integer number (14924910).

Almost surely, 2^3144960000 is an apocalyptic number.

3144960000 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 3144960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163956800).

3144960000 is an abundant number, since it is smaller than the sum of its proper divisors (11182953600).

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

3144960000 is an equidigital number, since it uses as much as digits as its factorization.

3144960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3144960000 is about 56079.9429386300. The cubic root of 3144960000 is about 1465.1149796962.

The spelling of 3144960000 in words is "three billion, one hundred forty-four million, nine hundred sixty thousand".