3008396160000 has 5280 divisors, whose sum is σ = 15746624467200. Its totient is φ = 557383680000.

The previous prime is 3008396159959. The next prime is 3008396160001. The reversal of 3008396160000 is 616938003.

It is a happy number.

3008396160000 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 39 + 616 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3008396160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 158336639991 + ... + 158336640009.

It is an arithmetic number, because the mean of its divisors is an integer number (2982315240).

Almost surely, 2^{3008396160000} is an apocalyptic number.

3008396160000 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 3008396160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873312233600).

3008396160000 is an abundant number, since it is smaller than the sum of its proper divisors (12738228307200).

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

3008396160000 is a wasteful number, since it uses less digits than its factorization.

3008396160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 3008396160000 in words is "three trillion, eight billion, three hundred ninety-six million, one hundred sixty thousand".