3008640 has 64 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 801792.

The previous prime is 3008633. The next prime is 3008641. The reversal of 3008640 is 468003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 2^3008640 is an apocalyptic number.

3008640 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 3008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

3008640 is an abundant number, since it is smaller than the sum of its proper divisors (6587520).

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

3008640 is a wasteful number, since it uses less digits than its factorization.

3008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

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

The square root of 3008640 is about 1734.5431675228. The cubic root of 3008640 is about 144.3632802840.

The spelling of 3008640 in words is "three million, eight thousand, six hundred forty".