3144706560 has 240 divisors, whose sum is σ = 11159988840. Its totient is φ = 817889280.

The previous prime is 3144706507. The next prime is 3144706589. The reversal of 3144706560 is 656074413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1522872576 + 1621833984 = 39024^2 + 40272^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 942976 + ... + 946304.

Almost surely, 2^3144706560 is an apocalyptic number.

3144706560 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 3144706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579994420).

3144706560 is an abundant number, since it is smaller than the sum of its proper divisors (8015282280).

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

3144706560 is a wasteful number, since it uses less digits than its factorization.

3144706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3144706560 is about 56077.6832617040. The cubic root of 3144706560 is about 1465.0756226810.

The spelling of 3144706560 in words is "three billion, one hundred forty-four million, seven hundred six thousand, five hundred sixty".