3005664 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 990080.

The previous prime is 3005633. The next prime is 3005671. The reversal of 3005664 is 4665003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12457 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 2^3005664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

3005664 is an abundant number, since it is smaller than the sum of its proper divisors (4977696).

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

3005664 is a wasteful number, since it uses less digits than its factorization.

3005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3005664 is about 1733.6850925125. The cubic root of 3005664 is about 144.3156655417.

The spelling of 3005664 in words is "three million, five thousand, six hundred sixty-four".