3877120 has 72 divisors (see below), whose sum is σ = 10044216. Its totient is φ = 1425408.

The previous prime is 3877079. The next prime is 3877123. The reversal of 3877120 is 217783.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 3873024 = 64^2 + 1968^2 .

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 16524 + ... + 16756.

It is an arithmetic number, because the mean of its divisors is an integer number (139503).

Almost surely, 2^3877120 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 3877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108).

3877120 is an abundant number, since it is smaller than the sum of its proper divisors (6167096).

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

3877120 is a wasteful number, since it uses less digits than its factorization.

3877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 3877120 is about 1969.0403754113. The cubic root of 3877120 is about 157.0976713845.

The spelling of 3877120 in words is "three million, eight hundred seventy-seven thousand, one hundred twenty".