3983540 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1370880.

The previous prime is 3983509. The next prime is 3983543. The reversal of 3983540 is 453893.

3983540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3983497 and 3983506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983543) 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, 3704 + ... + 4656.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^3983540 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 3983540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

3983540 is an abundant number, since it is smaller than the sum of its proper divisors (5632780).

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

3983540 is a wasteful number, since it uses less digits than its factorization.

3983540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3983540 is about 1995.8807579613. The cubic root of 3983540 is about 158.5220673365.

The spelling of 3983540 in words is "three million, nine hundred eighty-three thousand, five hundred forty".