3006006372 has 18 divisors (see below), whose sum is σ = 7598516198. Its totient is φ = 1002002112.

The previous prime is 3006006347. The next prime is 3006006379. The reversal of 3006006372 is 2736006003.

It can be written as a sum of positive squares in only one way, i.e., 2477650176 + 528356196 = 49776^2 + 22986^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (3006006379) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41750053 + ... + 41750124.

Almost surely, 2^3006006372 is an apocalyptic number.

It is an amenable number.

3006006372 is an abundant number, since it is smaller than the sum of its proper divisors (4592509826).

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

3006006372 is a wasteful number, since it uses less digits than its factorization.

3006006372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83500187 (or 83500182 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3006006372 is about 54827.0587575150. The cubic root of 3006006372 is about 1443.2114494852.

The spelling of 3006006372 in words is "three billion, six million, six thousand, three hundred seventy-two".