3877600 has 72 divisors (see below), whose sum is σ = 9796248. Its totient is φ = 1497600.

The previous prime is 3877597. The next prime is 3877603. The reversal of 3877600 is 67783.

3877600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3877597) and next prime (3877603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877603) 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 11 ways as a sum of consecutive naturals, for example, 29535 + ... + 29665.

It is an arithmetic number, because the mean of its divisors is an integer number (136059).

Almost surely, 2^3877600 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 3877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124).

3877600 is an abundant number, since it is smaller than the sum of its proper divisors (5918648).

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

3877600 is a wasteful number, since it uses less digits than its factorization.

3877600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 3877600 is about 1969.1622584236. The cubic root of 3877600 is about 157.1041541836.

The spelling of 3877600 in words is "three million, eight hundred seventy-seven thousand, six hundred".