3144328704 has 480 divisors, whose sum is σ = 10858367520. Its totient is φ = 865075200.

The previous prime is 3144328703. The next prime is 3144328727. The reversal of 3144328704 is 4078234413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144328703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35329492 + ... + 35329580.

It is an arithmetic number, because the mean of its divisors is an integer number (22621599).

Almost surely, 2^3144328704 is an apocalyptic number.

3144328704 is a gapful number since it is divisible by the number (34) 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 3144328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429183760).

3144328704 is an abundant number, since it is smaller than the sum of its proper divisors (7714038816).

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

3144328704 is a wasteful number, since it uses less digits than its factorization.

3144328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3144328704 is about 56074.3141197465. The cubic root of 3144328704 is about 1465.0169410226.

The spelling of 3144328704 in words is "three billion, one hundred forty-four million, three hundred twenty-eight thousand, seven hundred four".