3887481185280 has 4752 divisors, whose sum is σ = 19521781913088. Its totient is φ = 735746457600.

The previous prime is 3887481185261. The next prime is 3887481185293. The reversal of 3887481185280 is 825811847883.

3887481185280 is a `hidden beast` number, since 38 + 8 + 74 + 8 + 1 + 1 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a super-2 number, since 2×3887481185280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 125402618865 + ... + 125402618895.

Almost surely, 2^{3887481185280} is an apocalyptic number.

3887481185280 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 3887481185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760890956544).

3887481185280 is an abundant number, since it is smaller than the sum of its proper divisors (15634300727808).

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

3887481185280 is a wasteful number, since it uses less digits than its factorization.

3887481185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 3887481185280 in words is "three trillion, eight hundred eighty-seven billion, four hundred eighty-one million, one hundred eighty-five thousand, two hundred eighty".