3886727680 has 320 divisors, whose sum is σ = 11264064768. Its totient is φ = 1268776960.

The previous prime is 3886727671. The next prime is 3886727681. The reversal of 3886727680 is 867276883.

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

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3886727681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11010384 + ... + 11010736.

Almost surely, 2^3886727680 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 3886727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632032384).

3886727680 is an abundant number, since it is smaller than the sum of its proper divisors (7377337088).

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

3886727680 is a wasteful number, since it uses less digits than its factorization.

3886727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The square root of 3886727680 is about 62343.6258169189. The cubic root of 3886727680 is about 1572.2732940624.

The spelling of 3886727680 in words is "three billion, eight hundred eighty-six million, seven hundred twenty-seven thousand, six hundred eighty".