3871120 has 80 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1364480.

The previous prime is 3871111. The next prime is 3871129. The reversal of 3871120 is 211783.

It is an interprime number because it is at equal distance from previous prime (3871111) and next prime (3871129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3871091 and 3871100.

It is not an unprimeable number, because it can be changed into a prime (3871129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46599 + ... + 46681.

Almost surely, 2^3871120 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 3871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3871120 is an abundant number, since it is smaller than the sum of its proper divisors (6253232).

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

3871120 is a wasteful number, since it uses less digits than its factorization.

3871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3871120 is about 1967.5162006957. The cubic root of 3871120 is about 157.0165912119.

The spelling of 3871120 in words is "three million, eight hundred seventy-one thousand, one hundred twenty".