3071407968 has 72 divisors (see below), whose sum is σ = 8756643168. Its totient is φ = 1021185792.

The previous prime is 3071407961. The next prime is 3071408023. The reversal of 3071407968 is 8697041703.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3071407961) 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 11 ways as a sum of consecutive naturals, for example, 100905 + ... + 127767.

It is an arithmetic number, because the mean of its divisors is an integer number (121620044).

Almost surely, 2^3071407968 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 3071407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378321584).

3071407968 is an abundant number, since it is smaller than the sum of its proper divisors (5685235200).

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

3071407968 is a wasteful number, since it uses less digits than its factorization.

3071407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27276 (or 27265 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3071407968 is about 55420.2848061971. The cubic root of 3071407968 is about 1453.6030834103.

The spelling of 3071407968 in words is "three billion, seventy-one million, four hundred seven thousand, nine hundred sixty-eight".