3879840 has 96 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1009664.

The previous prime is 3879839. The next prime is 3879851. The reversal of 3879840 is 489783.

3879840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 28252 + ... + 28388.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

Almost surely, 2^3879840 is an apocalyptic number.

3879840 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 3879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

3879840 is an abundant number, since it is smaller than the sum of its proper divisors (8639520).

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

3879840 is a wasteful number, since it uses less digits than its factorization.

3879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3879840 is about 1969.7309460939. The cubic root of 3879840 is about 157.1344001746.

The spelling of 3879840 in words is "three million, eight hundred seventy-nine thousand, eight hundred forty".