3141070968 has 128 divisors (see below), whose sum is σ = 9402624000. Its totient is φ = 855429120.

The previous prime is 3141070963. The next prime is 3141070973. The reversal of 3141070968 is 8690701413.

It is an interprime number because it is at equal distance from previous prime (3141070963) and next prime (3141070973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141070963) 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 31 ways as a sum of consecutive naturals, for example, 380808 + ... + 388968.

It is an arithmetic number, because the mean of its divisors is an integer number (73458000).

Almost surely, 2^3141070968 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 3141070968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701312000).

3141070968 is an abundant number, since it is smaller than the sum of its proper divisors (6261553032).

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

3141070968 is a wasteful number, since it uses less digits than its factorization.

3141070968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 3141070968 is about 56045.2582115561. The cubic root of 3141070968 is about 1464.5108141631.

It can be divided in two parts, 31410 and 70968, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 3141070968 in words is "three billion, one hundred forty-one million, seventy thousand, nine hundred sixty-eight".