3147083096004 has 243 divisors, whose sum is σ = 8376106150503. Its totient is φ = 996279523200.

The previous prime is 3147083095997. The next prime is 3147083096009. The reversal of 3147083096004 is 4006903807413.

The square root of 3147083096004 is 1774002.

It is a perfect power (a square), and thus also a powerful number.

3147083096004 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 0 + 8 + 30 + 9 + 600 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69332156100 + 3077750939904 = 263310^2 + 1754352^2 .

It is not an unprimeable number, because it can be changed into a prime (3147083096009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24023535019 + ... + 24023535149.

Almost surely, 2^{3147083096004} is an apocalyptic number.

3147083096004 is the 1774002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3147083096004

3147083096004 is an abundant number, since it is smaller than the sum of its proper divisors (5229023054499).

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

3147083096004 is a wasteful number, since it uses less digits than its factorization.

3147083096004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3147083096004 in words is "three trillion, one hundred forty-seven billion, eighty-three million, ninety-six thousand, four".