3006864 has 120 divisors (see below), whose sum is σ = 10187840. Its totient is φ = 808704.

The previous prime is 3006851. The next prime is 3006881. The reversal of 3006864 is 4686003.

It is a super-2 number, since 2×3006864² = 18082462228992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19074 + ... + 19230.

Almost surely, 2^3006864 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 3006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093920).

3006864 is an abundant number, since it is smaller than the sum of its proper divisors (7180976).

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

3006864 is a wasteful number, since it uses less digits than its factorization.

3006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3006864 is about 1734.0311415889. The cubic root of 3006864 is about 144.3348688145.

The spelling of 3006864 in words is "three million, six thousand, eight hundred sixty-four".