3840120 has 48 divisors (see below), whose sum is σ = 12481560. Its totient is φ = 1023936.

The previous prime is 3840107. The next prime is 3840127. The reversal of 3840120 is 210483.

It is a happy number.

3840120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3840120² = 29493043228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3840093 and 3840102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840127) 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 11 ways as a sum of consecutive naturals, for example, 4974 + ... + 5693.

Almost surely, 2^3840120 is an apocalyptic number.

3840120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840120 is an abundant number, since it is smaller than the sum of its proper divisors (8641440).

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

3840120 is a wasteful number, since it uses less digits than its factorization.

3840120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3840120 is about 1959.6224126091. The cubic root of 3840120 is about 156.5963368246.

The spelling of 3840120 in words is "three million, eight hundred forty thousand, one hundred twenty".