3888656000 has 128 divisors (see below), whose sum is σ = 10089480960. Its totient is φ = 1487692800.

The previous prime is 3888655997. The next prime is 3888656003. The reversal of 3888656000 is 6568883.

It is an interprime number because it is at equal distance from previous prime (3888655997) and next prime (3888656003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888656003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362717 + ... + 373283.

It is an arithmetic number, because the mean of its divisors is an integer number (78824070).

Almost surely, 2^3888656000 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 3888656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044740480).

3888656000 is an abundant number, since it is smaller than the sum of its proper divisors (6200824960).

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

3888656000 is a wasteful number, since it uses less digits than its factorization.

3888656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 3888656000 is about 62359.0891530657. The cubic root of 3888656000 is about 1572.5332680929.

The spelling of 3888656000 in words is "three billion, eight hundred eighty-eight million, six hundred fifty-six thousand".