3887071202160 has 400 divisors, whose sum is σ = 13551154277760. Its totient is φ = 1032662753280.

The previous prime is 3887071202159. The next prime is 3887071202221. The reversal of 3887071202160 is 612021707883.

3887071202160 is a `hidden beast` number, since 388 + 7 + 0 + 7 + 1 + 202 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2856039880 + ... + 2856041240.

Almost surely, 2^{3887071202160} is an apocalyptic number.

3887071202160 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 3887071202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775577138880).

3887071202160 is an abundant number, since it is smaller than the sum of its proper divisors (9664083075600).

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

3887071202160 is a wasteful number, since it uses less digits than its factorization.

3887071202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 3887071202160 in words is "three trillion, eight hundred eighty-seven billion, seventy-one million, two hundred two thousand, one hundred sixty".