3003660 has 144 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 691200.

The previous prime is 3003647. The next prime is 3003673. The reversal of 3003660 is 663003.

3003660 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 660 = 666.

3003660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3003647) and next prime (3003673).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 73240 + ... + 73280.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 2^3003660 is an apocalyptic number.

3003660 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 3003660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3003660 is an abundant number, since it is smaller than the sum of its proper divisors (7453332).

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

3003660 is a wasteful number, since it uses less digits than its factorization.

3003660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3003660 is about 1733.1070365099. The cubic root of 3003660 is about 144.2835846778.

Adding to 3003660 its reverse (663003), we get a palindrome (3666663).

It can be divided in two parts, 3003 and 660, that added together give a palindrome (3663).

The spelling of 3003660 in words is "three million, three thousand, six hundred sixty".