3872000704 has 112 divisors (see below), whose sum is σ = 9237634560. Its totient is φ = 1586672640.

The previous prime is 3872000687. The next prime is 3872000749. The reversal of 3872000704 is 4070002783.

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 15 ways as a sum of consecutive naturals, for example, 388617 + ... + 398455.

It is an arithmetic number, because the mean of its divisors is an integer number (82478880).

Almost surely, 2^3872000704 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 3872000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618817280).

3872000704 is an abundant number, since it is smaller than the sum of its proper divisors (5365633856).

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

3872000704 is a wasteful number, since it uses less digits than its factorization.

3872000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 3872000704 is about 62225.4024012702. The cubic root of 3872000704 is about 1570.2849772767.

The spelling of 3872000704 in words is "three billion, eight hundred seventy-two million, seven hundred four", and thus it is an aban number.