3893120 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1198080.

The previous prime is 3893111. The next prime is 3893137. The reversal of 3893120 is 213983.

3893120 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3893120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49241 + ... + 49319.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3893120 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 3893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3893120 is an abundant number, since it is smaller than the sum of its proper divisors (7857280).

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

3893120 is a wasteful number, since it uses less digits than its factorization.

3893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3893120 is about 1973.0990851957. The cubic root of 3893120 is about 157.3134770179.

The spelling of 3893120 in words is "three million, eight hundred ninety-three thousand, one hundred twenty".