3886656000 has 320 divisors, whose sum is σ = 13359430656. Its totient is φ = 1001472000.

The previous prime is 3886655959. The next prime is 3886656019. The reversal of 3886656000 is 6566883.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 5951674 + ... + 5952326.

Almost surely, 2^3886656000 is an apocalyptic number.

3886656000 is a gapful number since it is divisible by the number (30) 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 3886656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679715328).

3886656000 is an abundant number, since it is smaller than the sum of its proper divisors (9472774656).

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

3886656000 is an equidigital number, since it uses as much as digits as its factorization.

3886656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3886656000 is about 62343.0509359303. The cubic root of 3886656000 is about 1572.2636285845.

The spelling of 3886656000 in words is "three billion, eight hundred eighty-six million, six hundred fifty-six thousand".