3877128 has 24 divisors (see below), whose sum is σ = 10500750. Its totient is φ = 1292352.

The previous prime is 3877123. The next prime is 3877151. The reversal of 3877128 is 8217783.

It can be written as a sum of positive squares in only one way, i.e., 2022084 + 1855044 = 1422^2 + 1362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3877092 and 3877101.

It is not an unprimeable number, because it can be changed into a prime (3877123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26853 + ... + 26996.

Almost surely, 2^3877128 is an apocalyptic number.

It is an amenable number.

3877128 is an abundant number, since it is smaller than the sum of its proper divisors (6623622).

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

3877128 is a wasteful number, since it uses less digits than its factorization.

3877128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53861 (or 53854 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 3877128 is about 1969.0424068567. The cubic root of 3877128 is about 157.0977794355.

It can be divided in two parts, 3877 and 128, that added together give a triangular number (4005 = T₈₉).

The spelling of 3877128 in words is "three million, eight hundred seventy-seven thousand, one hundred twenty-eight".