3983440 has 80 divisors (see below), whose sum is σ = 10244880. Its totient is φ = 1433600.

The previous prime is 3983431. The next prime is 3983443. The reversal of 3983440 is 443893.

3983440 = T₁₂₁ + T₁₂₂ + ... + T₂₉₄.

It can be written as a sum of positive squares in 8 ways, for example, as 553536 + 3429904 = 744^2 + 1852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39390 + ... + 39490.

It is an arithmetic number, because the mean of its divisors is an integer number (128061).

Almost surely, 2^3983440 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 3983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122440).

3983440 is an abundant number, since it is smaller than the sum of its proper divisors (6261440).

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

3983440 is a wasteful number, since it uses less digits than its factorization.

3983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3983440 is about 1995.8557062072. The cubic root of 3983440 is about 158.5207408498.

The spelling of 3983440 in words is "three million, nine hundred eighty-three thousand, four hundred forty".