3006037146 has 64 divisors (see below), whose sum is σ = 7037860608. Its totient is φ = 838176768.

The previous prime is 3006037129. The next prime is 3006037169. The reversal of 3006037146 is 6417306003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426120 + ... + 433116.

It is an arithmetic number, because the mean of its divisors is an integer number (109966572).

Almost surely, 2^3006037146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006037146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518930304).

3006037146 is an abundant number, since it is smaller than the sum of its proper divisors (4031823462).

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

3006037146 is a wasteful number, since it uses less digits than its factorization.

3006037146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3006037146 is about 54827.3394028928. The cubic root of 3006037146 is about 1443.2163744290.

The spelling of 3006037146 in words is "three billion, six million, thirty-seven thousand, one hundred forty-six".