3983840 has 48 divisors (see below), whose sum is σ = 10759392. Its totient is φ = 1365504.

The previous prime is 3983839. The next prime is 3983869. The reversal of 3983840 is 483893.

3983840 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 2×3983840² = 31741962291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3983840.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 659 + ... + 2898.

It is an arithmetic number, because the mean of its divisors is an integer number (224154).

Almost surely, 2^3983840 is an apocalyptic number.

It is an amenable number.

3983840 is an abundant number, since it is smaller than the sum of its proper divisors (6775552).

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

3983840 is a wasteful number, since it uses less digits than its factorization.

3983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3983840 is about 1995.9559113367. The cubic root of 3983840 is about 158.5260466637.

The spelling of 3983840 in words is "three million, nine hundred eighty-three thousand, eight hundred forty".