3144601872 has 160 divisors (see below), whose sum is σ = 9221909760. Its totient is φ = 1025740800.

The previous prime is 3144601849. The next prime is 3144601903. The reversal of 3144601872 is 2781064413.

3144601872 is a `hidden beast` number, since 3 + 1 + 44 + 601 + 8 + 7 + 2 = 666.

3144601872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231933 + ... + 4232675.

It is an arithmetic number, because the mean of its divisors is an integer number (57636936).

Almost surely, 2^3144601872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144601872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610954880).

3144601872 is an abundant number, since it is smaller than the sum of its proper divisors (6077307888).

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

3144601872 is a wasteful number, since it uses less digits than its factorization.

3144601872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3144601872 is about 56076.7498344902. The cubic root of 3144601872 is about 1465.0593649332.

The spelling of 3144601872 in words is "three billion, one hundred forty-four million, six hundred one thousand, eight hundred seventy-two".