3040876800 has 648 divisors, whose sum is σ = 12178053888. Its totient is φ = 718848000.

The previous prime is 3040876799. The next prime is 3040876823. The reversal of 3040876800 is 86780403.

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 71 ways as a sum of consecutive naturals, for example, 23212735 + ... + 23212865.

Almost surely, 2^3040876800 is an apocalyptic number.

3040876800 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 3040876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089026944).

3040876800 is an abundant number, since it is smaller than the sum of its proper divisors (9137177088).

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

3040876800 is a wasteful number, since it uses less digits than its factorization.

3040876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

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

The square root of 3040876800 is about 55144.1456548200. The cubic root of 3040876800 is about 1448.7705472212.

The spelling of 3040876800 in words is "three billion, forty million, eight hundred seventy-six thousand, eight hundred".