3080305806400 has 567 divisors, whose sum is σ = 8433516073879. Its totient is φ = 1107076382720.

The previous prime is 3080305806283. The next prime is 3080305806419. The reversal of 3080305806400 is 46085030803.

The square root of 3080305806400 is 1755080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 3007949110336 + 72356696064 = 1734344^2 + 268992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3080305806400.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34610177556 + ... + 34610177644.

Almost surely, 2^{3080305806400} is an apocalyptic number.

3080305806400 is the 1755080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080305806400

3080305806400 is an abundant number, since it is smaller than the sum of its proper divisors (5353210267479).

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

3080305806400 is an equidigital number, since it uses as much as digits as its factorization.

3080305806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 3080305806400 in words is "three trillion, eighty billion, three hundred five million, eight hundred six thousand, four hundred".