3983140 has 48 divisors (see below), whose sum is σ = 9983232. Its totient is φ = 1305216.

The previous prime is 3983131. The next prime is 3983153. The reversal of 3983140 is 413893.

3983140 = T₂₆₅ + T₂₆₆ + ... + T₃₄₈.

3983140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3983099 and 3983108.

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, 2602 + ... + 3838.

It is an arithmetic number, because the mean of its divisors is an integer number (207984).

Almost surely, 2^3983140 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 3983140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991616).

3983140 is an abundant number, since it is smaller than the sum of its proper divisors (6000092).

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

3983140 is a wasteful number, since it uses less digits than its factorization.

3983140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3983140 is about 1995.7805490584. The cubic root of 3983140 is about 158.5167612562.

The spelling of 3983140 in words is "three million, nine hundred eighty-three thousand, one hundred forty".