3093149329920 has 480 divisors, whose sum is σ = 11699046463104. Its totient is φ = 750661632000.

The previous prime is 3093149329889. The next prime is 3093149330009. The reversal of 3093149329920 is 299239413903.

It is a happy number.

3093149329920 is a `hidden beast` number, since 3 + 0 + 93 + 149 + 329 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21193195 + ... + 21338645.

Almost surely, 2^{3093149329920} is an apocalyptic number.

3093149329920 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 3093149329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849523231552).

3093149329920 is an abundant number, since it is smaller than the sum of its proper divisors (8605897133184).

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

3093149329920 is a wasteful number, since it uses less digits than its factorization.

3093149329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145564 (or 145545 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 3093149329920 in words is "three trillion, ninety-three billion, one hundred forty-nine million, three hundred twenty-nine thousand, nine hundred twenty".