3843840 has 288 divisors, whose sum is σ = 16482816. Its totient is φ = 737280.

The previous prime is 3843823. The next prime is 3843841. The reversal of 3843840 is 483483.

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

It is a junction number, because it is equal to n+sod(n) for n = 3843798 and 3843807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3843841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295674 + ... + 295686.

It is an arithmetic number, because the mean of its divisors is an integer number (57232).

Almost surely, 2^3843840 is an apocalyptic number.

3843840 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 3843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

3843840 is an abundant number, since it is smaller than the sum of its proper divisors (12638976).

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

3843840 is a wasteful number, since it uses less digits than its factorization.

3843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3843840 is about 1960.5713452971. The cubic root of 3843840 is about 156.6468864922.

It can be divided in two parts, 384 and 3840, that added together give a palindrome (4224).

The spelling of 3843840 in words is "three million, eight hundred forty-three thousand, eight hundred forty".