3045556800 has 1344 divisors, whose sum is σ = 14286585600. Its totient is φ = 619315200.

The previous prime is 3045556769. The next prime is 3045556823. The reversal of 3045556800 is 86555403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105019186 + ... + 105019214.

It is an arithmetic number, because the mean of its divisors is an integer number (10629900).

Almost surely, 2^3045556800 is an apocalyptic number.

3045556800 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 3045556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143292800).

3045556800 is an abundant number, since it is smaller than the sum of its proper divisors (11241028800).

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

3045556800 is a wasteful number, since it uses less digits than its factorization.

3045556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3045556800 is about 55186.5635820894. The cubic root of 3045556800 is about 1449.5133999404.

The spelling of 3045556800 in words is "three billion, forty-five million, five hundred fifty-six thousand, eight hundred".