3006166240 has 288 divisors, whose sum is σ = 9330080256. Its totient is φ = 887546880.

The previous prime is 3006166181. The next prime is 3006166243. The reversal of 3006166240 is 426616003.

3006166240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3006166199 and 3006166208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006166243) 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, 29186029 + ... + 29186131.

It is an arithmetic number, because the mean of its divisors is an integer number (32396112).

Almost surely, 2^3006166240 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 3006166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665040128).

3006166240 is an abundant number, since it is smaller than the sum of its proper divisors (6323914016).

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

3006166240 is a wasteful number, since it uses less digits than its factorization.

3006166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3006166240 is about 54828.5166678800. The cubic root of 3006166240 is about 1443.2370337332.

The spelling of 3006166240 in words is "three billion, six million, one hundred sixty-six thousand, two hundred forty".