3005352 has 96 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 836352.

The previous prime is 3005339. The next prime is 3005377. The reversal of 3005352 is 2535003.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33724 + ... + 33812.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 2^3005352 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 3005352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

3005352 is an abundant number, since it is smaller than the sum of its proper divisors (6541848).

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

3005352 is a wasteful number, since it uses less digits than its factorization.

3005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3005352 is about 1733.5951084380. The cubic root of 3005352 is about 144.3106718536.

The spelling of 3005352 in words is "three million, five thousand, three hundred fifty-two".