3081052800 has 1152 divisors, whose sum is σ = 14206233600. Its totient is φ = 619315200.

The previous prime is 3081052781. The next prime is 3081052811. The reversal of 3081052800 is 82501803.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99388785 + ... + 99388815.

It is an arithmetic number, because the mean of its divisors is an integer number (12331800).

Almost surely, 2^3081052800 is an apocalyptic number.

3081052800 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 3081052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103116800).

3081052800 is an abundant number, since it is smaller than the sum of its proper divisors (11125180800).

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

3081052800 is a wasteful number, since it uses less digits than its factorization.

3081052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3081052800 is about 55507.2319612499. The cubic root of 3081052800 is about 1455.1230278229.

The spelling of 3081052800 in words is "three billion, eighty-one million, fifty-two thousand, eight hundred".