3097301366016 has 1152 divisors, whose sum is σ = 11003515891200. Its totient is φ = 847081635840.

The previous prime is 3097301365997. The next prime is 3097301366069. The reversal of 3097301366016 is 6106631037903.

3097301366016 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 3 + 0 + 1 + 36 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12051756160 + ... + 12051756416.

It is an arithmetic number, because the mean of its divisors is an integer number (9551663100).

Almost surely, 2^{3097301366016} is an apocalyptic number.

3097301366016 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 3097301366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501757945600).

3097301366016 is an abundant number, since it is smaller than the sum of its proper divisors (7906214525184).

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

3097301366016 is a wasteful number, since it uses less digits than its factorization.

3097301366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 3097301366016 in words is "three trillion, ninety-seven billion, three hundred one million, three hundred sixty-six thousand, sixteen".