3877008 has 60 divisors (see below), whose sum is σ = 10468080. Its totient is φ = 1236096.

The previous prime is 3876997. The next prime is 3877033. The reversal of 3877008 is 8007783.

It is a self number, because there is not a number n which added to its sum of digits gives 3877008.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65683 + ... + 65741.

It is an arithmetic number, because the mean of its divisors is an integer number (174468).

Almost surely, 2^3877008 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 3877008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234040).

3877008 is an abundant number, since it is smaller than the sum of its proper divisors (6591072).

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

3877008 is a wasteful number, since it uses less digits than its factorization.

3877008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 3877008 is about 1969.0119349562. The cubic root of 3877008 is about 157.0961586544.

The spelling of 3877008 in words is "three million, eight hundred seventy-seven thousand, eight".