3887563680 has 1536 divisors, whose sum is σ = 19508428800. Its totient is φ = 696729600.

The previous prime is 3887563657. The next prime is 3887563721. The reversal of 3887563680 is 863657883.

It is a happy number.

It is a super-2 number, since 2×3887563680² = 30226302732110284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 125405265 + ... + 125405295.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^3887563680 is an apocalyptic number.

3887563680 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 3887563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754214400).

3887563680 is an abundant number, since it is smaller than the sum of its proper divisors (15620865120).

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

3887563680 is a wasteful number, since it uses less digits than its factorization.

3887563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3887563680 is about 62350.3302316836. The cubic root of 3887563680 is about 1572.3860132402.

The spelling of 3887563680 in words is "three billion, eight hundred eighty-seven million, five hundred sixty-three thousand, six hundred eighty".