3835120 has 20 divisors (see below), whose sum is σ = 8916840. Its totient is φ = 1534016.

The previous prime is 3835109. The next prime is 3835123. The reversal of 3835120 is 215383.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3835091 and 3835100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835123) 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, 23890 + ... + 24049.

It is an arithmetic number, because the mean of its divisors is an integer number (445842).

Almost surely, 2^3835120 is an apocalyptic number.

It is an amenable number.

3835120 is an abundant number, since it is smaller than the sum of its proper divisors (5081720).

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

3835120 is a wasteful number, since it uses less digits than its factorization.

3835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952 (or 47946 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3835120 is about 1958.3462410922. The cubic root of 3835120 is about 156.5283422693.

The spelling of 3835120 in words is "three million, eight hundred thirty-five thousand, one hundred twenty".