3840960 has 56 divisors (see below), whose sum is σ = 12198096. Its totient is φ = 1024000.

The previous prime is 3840953. The next prime is 3840961. The reversal of 3840960 is 690483.

3840960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840961) by changing a digit.

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, 1041 + ... + 2960.

Almost surely, 2^3840960 is an apocalyptic number.

3840960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840960 is an abundant number, since it is smaller than the sum of its proper divisors (8357136).

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

3840960 is a wasteful number, since it uses less digits than its factorization.

3840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3840960 is about 1959.8367278934. The cubic root of 3840960 is about 156.6077541182.

It can be divided in two parts, 3840 and 960, that multiplied together give a square (3686400 = 1920²).

The spelling of 3840960 in words is "three million, eight hundred forty thousand, nine hundred sixty".