3001680 has 120 divisors (see below), whose sum is σ = 11026080. Its totient is φ = 725760.

The previous prime is 3001657. The next prime is 3001681. The reversal of 3001680 is 861003.

3001680 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 (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001681) by changing a digit.

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, 7731 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (91884).

Almost surely, 2^3001680 is an apocalyptic number.

3001680 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 3001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040).

3001680 is an abundant number, since it is smaller than the sum of its proper divisors (8024400).

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

3001680 is a wasteful number, since it uses less digits than its factorization.

3001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3001680 is about 1732.5357139176. The cubic root of 3001680 is about 144.2518739988.

Adding to 3001680 its reverse (861003), we get a palindrome (3862683).

The spelling of 3001680 in words is "three million, one thousand, six hundred eighty".