3093349299264 has 945 divisors, whose sum is σ = 11275489586517. Its totient is φ = 808425225216.

The previous prime is 3093349299253. The next prime is 3093349299281. The reversal of 3093349299264 is 4629929433903.

The square root of 3093349299264 is 1758792.

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

3093349299264 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 349 + 29 + 9 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1622077337664 + 1471271961600 = 1273608^2 + 1212960^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 106667217202 + ... + 106667217230.

Almost surely, 2^{3093349299264} is an apocalyptic number.

3093349299264 is the 1758792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3093349299264

3093349299264 is an abundant number, since it is smaller than the sum of its proper divisors (8182140287253).

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

3093349299264 is an frugal number, since it uses more digits than its factorization.

3093349299264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 3093349299264 in words is "three trillion, ninety-three billion, three hundred forty-nine million, two hundred ninety-nine thousand, two hundred sixty-four".