3827120 has 40 divisors (see below), whose sum is σ = 9709200. Its totient is φ = 1391360.

The previous prime is 3827093. The next prime is 3827143. The reversal of 3827120 is 217283.

3827120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (242730).

Almost surely, 2^3827120 is an apocalyptic number.

It is an amenable number.

3827120 is an abundant number, since it is smaller than the sum of its proper divisors (5882080).

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

3827120 is a wasteful number, since it uses less digits than its factorization.

3827120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3827120 is about 1956.3026350746. The cubic root of 3827120 is about 156.4194279496.

The spelling of 3827120 in words is "three million, eight hundred twenty-seven thousand, one hundred twenty".