3006772800 has 168 divisors, whose sum is σ = 10384231200. Its totient is φ = 759582720.

The previous prime is 3006772787. The next prime is 3006772849. The reversal of 3006772800 is 82776003.

3006772800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74716 + ... + 107684.

It is an arithmetic number, because the mean of its divisors is an integer number (61810900).

Almost surely, 2^3006772800 is an apocalyptic number.

3006772800 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 3006772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192115600).

3006772800 is an abundant number, since it is smaller than the sum of its proper divisors (7377458400).

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

3006772800 is a wasteful number, since it uses less digits than its factorization.

3006772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33013 (or 32998 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3006772800 is about 54834.0478170270. The cubic root of 3006772800 is about 1443.3340954517.

The spelling of 3006772800 in words is "three billion, six million, seven hundred seventy-two thousand, eight hundred".