3870880 has 48 divisors (see below), whose sum is σ = 9853704. Its totient is φ = 1428480.

The previous prime is 3870869. The next prime is 3870899. The reversal of 3870880 is 880783.

3870880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 2862864 = 1004^2 + 1692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150 + ... + 3010.

Almost surely, 2^3870880 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 3870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926852).

3870880 is an abundant number, since it is smaller than the sum of its proper divisors (5982824).

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

3870880 is a wasteful number, since it uses less digits than its factorization.

3870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 3870880 is about 1967.4552091471. The cubic root of 3870880 is about 157.0133462629.

The spelling of 3870880 in words is "three million, eight hundred seventy thousand, eight hundred eighty".