3301109747712 has 936 divisors, whose sum is σ = 11826699656616. Its totient is φ = 881508483072.

The previous prime is 3301109747699. The next prime is 3301109747713. The reversal of 3301109747712 is 2177479011033.

It can be written as a sum of positive squares in 4 ways, for example, as 86633680896 + 3214476066816 = 294336^2 + 1792896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301109747713) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5926588138 + ... + 5926588694.

It is an arithmetic number, because the mean of its divisors is an integer number (12635362881).

Almost surely, 2^{3301109747712} is an apocalyptic number.

3301109747712 is a gapful number since it is divisible by the number (32) 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 3301109747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913349828308).

3301109747712 is an abundant number, since it is smaller than the sum of its proper divisors (8525589908904).

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

3301109747712 is a wasteful number, since it uses less digits than its factorization.

3301109747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 3301109747712 in words is "three trillion, three hundred one billion, one hundred nine million, seven hundred forty-seven thousand, seven hundred twelve".