3877566 has 72 divisors (see below), whose sum is σ = 10006920. Its totient is φ = 997920.

The previous prime is 3877543. The next prime is 3877571. The reversal of 3877566 is 6657783.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 3¹¹ + 8⁵ + 7⁵ + 7⁵ + 5⁹ + 6⁴ + 6⁸ .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35520 + ... + 35628.

It is an arithmetic number, because the mean of its divisors is an integer number (138985).

Almost surely, 2^3877566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003460).

3877566 is an abundant number, since it is smaller than the sum of its proper divisors (6129354).

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

3877566 is a wasteful number, since it uses less digits than its factorization.

3877566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 3877566 is about 1969.1536252918. The cubic root of 3877566 is about 157.1036950030.

The spelling of 3877566 in words is "three million, eight hundred seventy-seven thousand, five hundred sixty-six".