3144798720 has 960 divisors, whose sum is σ = 13972248576. Its totient is φ = 637009920.

The previous prime is 3144798719. The next prime is 3144798731. The reversal of 3144798720 is 278974413.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84994542 + ... + 84994578.

Almost surely, 2^3144798720 is an apocalyptic number.

3144798720 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 3144798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

3144798720 is an abundant number, since it is smaller than the sum of its proper divisors (10827449856).

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

3144798720 is a wasteful number, since it uses less digits than its factorization.

3144798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3144798720 is about 56078.5049729395. The cubic root of 3144798720 is about 1465.0899345675.

The spelling of 3144798720 in words is "three billion, one hundred forty-four million, seven hundred ninety-eight thousand, seven hundred twenty".