3065428800 has 840 divisors, whose sum is σ = 13414776320. Its totient is φ = 671846400.

The previous prime is 3065428781. The next prime is 3065428813. The reversal of 3065428800 is 88245603.

3065428800 is a `hidden beast` number, since 30 + 6 + 542 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28123146 + ... + 28123254.

Almost surely, 2^3065428800 is an apocalyptic number.

3065428800 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 3065428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707388160).

3065428800 is an abundant number, since it is smaller than the sum of its proper divisors (10349347520).

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

3065428800 is a wasteful number, since it uses less digits than its factorization.

3065428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3065428800 is about 55366.3146687587. The cubic root of 3065428800 is about 1452.6592184573.

The spelling of 3065428800 in words is "three billion, sixty-five million, four hundred twenty-eight thousand, eight hundred".