3141307872 has 192 divisors, whose sum is σ = 10015488000. Its totient is φ = 953579520.

The previous prime is 3141307861. The next prime is 3141307891. The reversal of 3141307872 is 2787031413.

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

It is a congruent number.

It is an unprimeable number.

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, 451879 + ... + 458777.

It is an arithmetic number, because the mean of its divisors is an integer number (52164000).

Almost surely, 2^3141307872 is an apocalyptic number.

3141307872 is a gapful number since it is divisible by the number (32) 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 3141307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744000).

3141307872 is an abundant number, since it is smaller than the sum of its proper divisors (6874180128).

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

3141307872 is a wasteful number, since it uses less digits than its factorization.

3141307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3141307872 is about 56047.3716778940. The cubic root of 3141307872 is about 1464.5476317274.

The spelling of 3141307872 in words is "three billion, one hundred forty-one million, three hundred seven thousand, eight hundred seventy-two".