3005640 has 192 divisors, whose sum is σ = 11491200. Its totient is φ = 696960.

The previous prime is 3005633. The next prime is 3005671. The reversal of 3005640 is 465003.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130669 + ... + 130691.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

Almost surely, 2^3005640 is an apocalyptic number.

3005640 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 3005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3005640 is an abundant number, since it is smaller than the sum of its proper divisors (8485560).

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

3005640 is a wasteful number, since it uses less digits than its factorization.

3005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3005640 is about 1733.6781708264. The cubic root of 3005640 is about 144.3152814242.

The spelling of 3005640 in words is "three million, five thousand, six hundred forty".