3006801018 has 96 divisors (see below), whose sum is σ = 7121150400. Its totient is φ = 916834464.

The previous prime is 3006801013. The next prime is 3006801019. The reversal of 3006801018 is 8101086003.

It is a junction number, because it is equal to n+sod(n) for n = 3006800982 and 3006801000.

It is not an unprimeable number, because it can be changed into a prime (3006801013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5496621 + ... + 5497167.

It is an arithmetic number, because the mean of its divisors is an integer number (74178650).

Almost surely, 2^3006801018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006801018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560575200).

3006801018 is an abundant number, since it is smaller than the sum of its proper divisors (4114349382).

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

3006801018 is a wasteful number, since it uses less digits than its factorization.

3006801018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3006801018 is about 54834.3051200615. The cubic root of 3006801018 is about 1443.3386105777.

The spelling of 3006801018 in words is "three billion, six million, eight hundred one thousand, eighteen".