3006225360 has 160 divisors (see below), whose sum is σ = 10376657280. Its totient is φ = 799967232.

The previous prime is 3006225317. The next prime is 3006225427. The reversal of 3006225360 is 635226003.

3006225360 is a `hidden beast` number, since 3 + 0 + 0 + 622 + 5 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279707 + ... + 1282053.

It is an arithmetic number, because the mean of its divisors is an integer number (64854108).

Almost surely, 2^3006225360 is an apocalyptic number.

3006225360 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 3006225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188328640).

3006225360 is an abundant number, since it is smaller than the sum of its proper divisors (7370431920).

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

3006225360 is a wasteful number, since it uses less digits than its factorization.

3006225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3006225360 is about 54829.0558007340. The cubic root of 3006225360 is about 1443.2464946886.

The spelling of 3006225360 in words is "three billion, six million, two hundred twenty-five thousand, three hundred sixty".