3006468360 has 512 divisors, whose sum is σ = 12286080000. Its totient is φ = 638337024.

The previous prime is 3006468359. The next prime is 3006468373. The reversal of 3006468360 is 638646003.

3006468360 is a `hidden beast` number, since 3 + 0 + 0 + 646 + 8 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19149402 + ... + 19149558.

It is an arithmetic number, because the mean of its divisors is an integer number (23996250).

Almost surely, 2^3006468360 is an apocalyptic number.

3006468360 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 3006468360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143040000).

3006468360 is an abundant number, since it is smaller than the sum of its proper divisors (9279611640).

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

3006468360 is a wasteful number, since it uses less digits than its factorization.

3006468360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3006468360 is about 54831.2717342941. The cubic root of 3006468360 is about 1443.2853806011.

The spelling of 3006468360 in words is "three billion, six million, four hundred sixty-eight thousand, three hundred sixty".