3039165120096 has 288 divisors, whose sum is σ = 9964569259008. Its totient is φ = 860679198720.

The previous prime is 3039165120049. The next prime is 3039165120197. The reversal of 3039165120096 is 6900215619303.

3039165120096 is a `hidden beast` number, since 3 + 0 + 39 + 16 + 512 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188631081 + ... + 188647191.

It is an arithmetic number, because the mean of its divisors is an integer number (34599198816).

Almost surely, 2^{3039165120096} is an apocalyptic number.

3039165120096 is a gapful number since it is divisible by the number (36) 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 3039165120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982284629504).

3039165120096 is an abundant number, since it is smaller than the sum of its proper divisors (6925404138912).

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

3039165120096 is a wasteful number, since it uses less digits than its factorization.

3039165120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16954 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 3039165120096 in words is "three trillion, thirty-nine billion, one hundred sixty-five million, one hundred twenty thousand, ninety-six".