3053980800 has 384 divisors, whose sum is σ = 12040896000. Its totient is φ = 751472640.

The previous prime is 3053980771. The next prime is 3053980823. The reversal of 3053980800 is 80893503.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1121841 + ... + 1124559.

It is an arithmetic number, because the mean of its divisors is an integer number (31356500).

Almost surely, 2^3053980800 is an apocalyptic number.

3053980800 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 3053980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020448000).

3053980800 is an abundant number, since it is smaller than the sum of its proper divisors (8986915200).

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

3053980800 is a wasteful number, since it uses less digits than its factorization.

3053980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3053980800 is about 55262.8338035610. The cubic root of 3053980800 is about 1450.8486193762.

The spelling of 3053980800 in words is "three billion, fifty-three million, nine hundred eighty thousand, eight hundred".