3887160 has 64 divisors (see below), whose sum is σ = 12074400. Its totient is φ = 999936.

The previous prime is 3887129. The next prime is 3887167. The reversal of 3887160 is 617883.

It is a super-2 number, since 2×3887160² = 30220025731200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922 + ... + 4038.

Almost surely, 2^3887160 is an apocalyptic number.

3887160 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 3887160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037200).

3887160 is an abundant number, since it is smaller than the sum of its proper divisors (8187240).

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

3887160 is a wasteful number, since it uses less digits than its factorization.

3887160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3887160 is about 1971.5881922957. The cubic root of 3887160 is about 157.2331586457.

The spelling of 3887160 in words is "three million, eight hundred eighty-seven thousand, one hundred sixty".