3840840 has 96 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 998016.

The previous prime is 3840829. The next prime is 3840853. The reversal of 3840840 is 480483.

3840840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 16807 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

Almost surely, 2^3840840 is an apocalyptic number.

3840840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

3840840 is an abundant number, since it is smaller than the sum of its proper divisors (8963640).

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

3840840 is a wasteful number, since it uses less digits than its factorization.

3840840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3840840 is about 1959.8061128591. The cubic root of 3840840 is about 156.6061231782.

The spelling of 3840840 in words is "three million, eight hundred forty thousand, eight hundred forty".