3877480 has 64 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 1447680.

The previous prime is 3877477. The next prime is 3877481. The reversal of 3877480 is 847783.

3877480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3877481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65691 + ... + 65749.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 2^3877480 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 3877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

3877480 is an abundant number, since it is smaller than the sum of its proper divisors (5453720).

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

3877480 is a wasteful number, since it uses less digits than its factorization.

3877480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 3877480 is about 1969.1317883778. The cubic root of 3877480 is about 157.1025335340.

The spelling of 3877480 in words is "three million, eight hundred seventy-seven thousand, four hundred eighty".