3008767776400 has 45 divisors (see below), whose sum is σ = 7228647930331. Its totient is φ = 1203493233920.

The previous prime is 3008767776397. The next prime is 3008767776473. The reversal of 3008767776400 is 46777678003.

The square root of 3008767776400 is 1734580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7336265104 + 3001431511296 = 85652^2 + 1732464^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 34648236 + ... + 34734964.

Almost surely, 2^{3008767776400} is an apocalyptic number.

3008767776400 is the 1734580-th square number.

It is an amenable number.

3008767776400 is an abundant number, since it is smaller than the sum of its proper divisors (4219880153931).

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

3008767776400 is an frugal number, since it uses more digits than its factorization.

3008767776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173476 (or 86736 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 55.

The spelling of 3008767776400 in words is "three trillion, eight billion, seven hundred sixty-seven million, seven hundred seventy-six thousand, four hundred".