3004680 has 128 divisors (see below), whose sum is σ = 10656000. Its totient is φ = 677376.

The previous prime is 3004669. The next prime is 3004681. The reversal of 3004680 is 864003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3004681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41124 + ... + 41196.

It is an arithmetic number, because the mean of its divisors is an integer number (83250).

Almost surely, 2^3004680 is an apocalyptic number.

3004680 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 3004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328000).

3004680 is an abundant number, since it is smaller than the sum of its proper divisors (7651320).

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

3004680 is a wasteful number, since it uses less digits than its factorization.

3004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3004680 is about 1733.4012807195. The cubic root of 3004680 is about 144.2999150437.

Adding to 3004680 its reverse (864003), we get a palindrome (3868683).

The spelling of 3004680 in words is "three million, four thousand, six hundred eighty".