3887447760 has 240 divisors, whose sum is σ = 15101783424. Its totient is φ = 877759488.

The previous prime is 3887447717. The next prime is 3887447761. The reversal of 3887447760 is 677447883.

3887447760 is a `hidden beast` number, since 38 + 87 + 4 + 477 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×3887447760⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3887447697 and 3887447706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887447761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413674 + ... + 422966.

Almost surely, 2^3887447760 is an apocalyptic number.

3887447760 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 3887447760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550891712).

3887447760 is an abundant number, since it is smaller than the sum of its proper divisors (11214335664).

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

3887447760 is a wasteful number, since it uses less digits than its factorization.

3887447760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 3887447760 is about 62349.4006386589. The cubic root of 3887447760 is about 1572.3703845318.

The spelling of 3887447760 in words is "three billion, eight hundred eighty-seven million, four hundred forty-seven thousand, seven hundred sixty".