3884840 has 64 divisors (see below), whose sum is σ = 9622800. Its totient is φ = 1404928.

The previous prime is 3884833. The next prime is 3884843. The reversal of 3884840 is 484883.

3884840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1971²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 3363556 + 521284 = 1834^2 + 722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3884840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884843) 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 15 ways as a sum of consecutive naturals, for example, 19622 + ... + 19818.

Almost surely, 2^3884840 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 3884840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811400).

3884840 is an abundant number, since it is smaller than the sum of its proper divisors (5737960).

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

3884840 is a wasteful number, since it uses less digits than its factorization.

3884840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 3884840 is about 1970.9997463216. Note that the first 3 decimals coincide. The cubic root of 3884840 is about 157.2018715772.

The spelling of 3884840 in words is "three million, eight hundred eighty-four thousand, eight hundred forty".