3040080076800 has 2016 divisors, whose sum is σ = 12588619610112. Its totient is φ = 722369249280.

The previous prime is 3040080076757. The next prime is 3040080076877. The reversal of 3040080076800 is 86700800403.

3040080076800 is a `hidden beast` number, since 30 + 400 + 80 + 0 + 76 + 80 + 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 143 ways as a sum of consecutive naturals, for example, 23937638337 + ... + 23937638463.

Almost surely, 2^{3040080076800} is an apocalyptic number.

3040080076800 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 3040080076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294309805056).

3040080076800 is an abundant number, since it is smaller than the sum of its proper divisors (9548539533312).

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

3040080076800 is a wasteful number, since it uses less digits than its factorization.

3040080076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3040080076800 in words is "three trillion, forty billion, eighty million, seventy-six thousand, eight hundred".