3895120 has 40 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 1543680.

The previous prime is 3895117. The next prime is 3895127. The reversal of 3895120 is 215983.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 3594816 = 548^2 + 1896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14346 + ... + 14614.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^3895120 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 3895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

3895120 is an abundant number, since it is smaller than the sum of its proper divisors (5244920).

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

3895120 is a wasteful number, since it uses less digits than its factorization.

3895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 3895120 is about 1973.6058370404. The cubic root of 3895120 is about 157.3404111215.

The spelling of 3895120 in words is "three million, eight hundred ninety-five thousand, one hundred twenty".