3866160 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1013760.

The previous prime is 3866147. The next prime is 3866171. The reversal of 3866160 is 616683.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21270 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^3866160 is an apocalyptic number.

3866160 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 3866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3866160 is an abundant number, since it is smaller than the sum of its proper divisors (8320560).

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

3866160 is a wasteful number, since it uses less digits than its factorization.

3866160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3866160 is about 1966.2553242140. The cubic root of 3866160 is about 156.9495016571.

The spelling of 3866160 in words is "three million, eight hundred sixty-six thousand, one hundred sixty".