3000721852800 has 1152 divisors, whose sum is σ = 12726022982400. Its totient is φ = 683939635200.

The previous prime is 3000721852769. The next prime is 3000721852811. The reversal of 3000721852800 is 82581270003.

3000721852800 is a `hidden beast` number, since 300 + 0 + 72 + 1 + 8 + 5 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2944770691 + ... + 2944771709.

It is an arithmetic number, because the mean of its divisors is an integer number (11046894950).

Almost surely, 2^{3000721852800} is an apocalyptic number.

3000721852800 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 3000721852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363011491200).

3000721852800 is an abundant number, since it is smaller than the sum of its proper divisors (9725301129600).

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

3000721852800 is a wasteful number, since it uses less digits than its factorization.

3000721852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 3000721852800 in words is "three trillion, seven hundred twenty-one million, eight hundred fifty-two thousand, eight hundred".