3006976 has 40 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 1287168.

The previous prime is 3006973. The next prime is 3006989. The reversal of 3006976 is 6796003.

It is not an unprimeable number, because it can be changed into a prime (3006973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3165 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 2^3006976 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 3006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

3006976 is an abundant number, since it is smaller than the sum of its proper divisors (3867584).

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

3006976 is an frugal number, since it uses more digits than its factorization.

3006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 3006976 is about 1734.0634359792. The cubic root of 3006976 is about 144.3366608592.

The spelling of 3006976 in words is "three million, six thousand, nine hundred seventy-six".