3983480 has 32 divisors (see below), whose sum is σ = 9136800. Its totient is φ = 1562496.

The previous prime is 3983479. The next prime is 3983509. The reversal of 3983480 is 843893.

3983480 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 2×3983480² = 31736225820800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3983480.

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, 1181 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (285525).

Almost surely, 2^3983480 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 3983480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568400).

3983480 is an abundant number, since it is smaller than the sum of its proper divisors (5153320).

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

3983480 is a wasteful number, since it uses less digits than its factorization.

3983480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

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

The square root of 3983480 is about 1995.8657269466. The cubic root of 3983480 is about 158.5212714471.

The spelling of 3983480 in words is "three million, nine hundred eighty-three thousand, four hundred eighty".