3877160 has 64 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 1301760.

The previous prime is 3877151. The next prime is 3877189. The reversal of 3877160 is 617783.

3877160 = T₁₀₄₉ + T₁₀₅₀ + ... + T₁₀₅₅.

It is a happy number.

3877160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16967 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

Almost surely, 2^3877160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

3877160 is an abundant number, since it is smaller than the sum of its proper divisors (6300760).

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

3877160 is a wasteful number, since it uses less digits than its factorization.

3877160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 3877160 is about 1969.0505326172. The cubic root of 3877160 is about 157.0982116382.

The spelling of 3877160 in words is "three million, eight hundred seventy-seven thousand, one hundred sixty".