3003840 has 168 divisors, whose sum is σ = 11887200. Its totient is φ = 681984.

The previous prime is 3003827. The next prime is 3003859. The reversal of 3003840 is 483003.

3003840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 20086 + ... + 20234.

Almost surely, 2^3003840 is an apocalyptic number.

3003840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

3003840 is an abundant number, since it is smaller than the sum of its proper divisors (8883360).

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

3003840 is a wasteful number, since it uses less digits than its factorization.

3003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3003840 is about 1733.1589655886. The cubic root of 3003840 is about 144.2864667757.

Adding to 3003840 its reverse (483003), we get a palindrome (3486843).

The spelling of 3003840 in words is "three million, three thousand, eight hundred forty".