3006000 has 120 divisors (see below), whose sum is σ = 10561824. Its totient is φ = 796800.

The previous prime is 3005999. The next prime is 3006013. The reversal of 3006000 is 6003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 17917 + ... + 18083.

Almost surely, 2^3006000 is an apocalyptic number.

3006000 is a gapful number since it is divisible by the number (30) 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 3006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280912).

3006000 is an abundant number, since it is smaller than the sum of its proper divisors (7555824).

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

3006000 is a wasteful number, since it uses less digits than its factorization.

3006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3006000 is about 1733.7819932160. The cubic root of 3006000 is about 144.3210429732.

The spelling of 3006000 in words is "three million, six thousand".