3146725728 has 72 divisors (see below), whose sum is σ = 9166791816. Its totient is φ = 1023321600.

The previous prime is 3146725691. The next prime is 3146725763. The reversal of 3146725728 is 8275276413.

3146725728 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 72 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121438 + ... + 145053.

It is an arithmetic number, because the mean of its divisors is an integer number (127316553).

Almost surely, 2^3146725728 is an apocalyptic number.

It is an amenable number.

3146725728 is an abundant number, since it is smaller than the sum of its proper divisors (6020066088).

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

3146725728 is a wasteful number, since it uses less digits than its factorization.

3146725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266548 (or 266537 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3146725728 is about 56095.6836842194. The cubic root of 3146725728 is about 1465.3891231448.

It can be divided in two parts, 314672 and 5728, that added together give a triangular number (320400 = T₈₀₀).

The spelling of 3146725728 in words is "three billion, one hundred forty-six million, seven hundred twenty-five thousand, seven hundred twenty-eight".