3079738336416 has 144 divisors (see below), whose sum is σ = 9408632357376. Its totient is φ = 879510610944.

The previous prime is 3079738336403. The next prime is 3079738336453. The reversal of 3079738336416 is 6146338379703.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3079738336416.

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 23 ways as a sum of consecutive naturals, for example, 9899265 + ... + 10205631.

It is an arithmetic number, because the mean of its divisors is an integer number (65337724704).

Almost surely, 2^{3079738336416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3079738336416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704316178688).

3079738336416 is an abundant number, since it is smaller than the sum of its proper divisors (6328894020960).

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

3079738336416 is a wasteful number, since it uses less digits than its factorization.

3079738336416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308531 (or 308516 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 60.

The spelling of 3079738336416 in words is "three trillion, seventy-nine billion, seven hundred thirty-eight million, three hundred thirty-six thousand, four hundred sixteen".