3006752 has 48 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 1244160.

The previous prime is 3006737. The next prime is 3006761. The reversal of 3006752 is 2576003.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 6728 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^3006752 is an apocalyptic number.

3006752 is a gapful number since it is divisible by the number (32) 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 3006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

3006752 is an abundant number, since it is smaller than the sum of its proper divisors (3992800).

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

3006752 is a wasteful number, since it uses less digits than its factorization.

3006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 3006752 is about 1733.9988465971. The cubic root of 3006752 is about 144.3330767252. Note that the first 3 decimals are identical.

The spelling of 3006752 in words is "three million, six thousand, seven hundred fifty-two".