3049120800 has 576 divisors, whose sum is σ = 12362958720. Its totient is φ = 718848000.

The previous prime is 3049120771. The next prime is 3049120801. The reversal of 3049120800 is 80219403.

3049120800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3049120801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9741444 + ... + 9741756.

It is an arithmetic number, because the mean of its divisors is an integer number (21463470).

Almost surely, 2^3049120800 is an apocalyptic number.

3049120800 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 3049120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181479360).

3049120800 is an abundant number, since it is smaller than the sum of its proper divisors (9313837920).

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

3049120800 is a wasteful number, since it uses less digits than its factorization.

3049120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3049120800 is about 55218.8446094266. The cubic root of 3049120800 is about 1450.0786005747.

The spelling of 3049120800 in words is "three billion, forty-nine million, one hundred twenty thousand, eight hundred".