3806120 has 16 divisors (see below), whose sum is σ = 8563860. Its totient is φ = 1522432.

The previous prime is 3806119. The next prime is 3806123. The reversal of 3806120 is 216083.

It can be written as a sum of positive squares in 2 ways, for example, as 3541924 + 264196 = 1882^2 + 514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3806092 and 3806101.

It is not an unprimeable number, because it can be changed into a prime (3806123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47537 + ... + 47616.

Almost surely, 2^3806120 is an apocalyptic number.

It is an amenable number.

3806120 is an abundant number, since it is smaller than the sum of its proper divisors (4757740).

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

3806120 is a wasteful number, since it uses less digits than its factorization.

3806120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95164 (or 95160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3806120 is about 1950.9279843193. The cubic root of 3806120 is about 156.1328038517.

The spelling of 3806120 in words is "three million, eight hundred six thousand, one hundred twenty".