3134727589248 has 768 divisors, whose sum is σ = 10584064108800. Its totient is φ = 917580939264.

The previous prime is 3134727589243. The next prime is 3134727589277. The reversal of 3134727589248 is 8429857274313.

It is a happy number.

3134727589248 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 7 + 2 + 7 + 589 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134727589243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673119336 + ... + 673123992.

It is an arithmetic number, because the mean of its divisors is an integer number (13781333475).

Almost surely, 2^{3134727589248} is an apocalyptic number.

3134727589248 is a gapful number since it is divisible by the number (38) 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 3134727589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292032054400).

3134727589248 is an abundant number, since it is smaller than the sum of its proper divisors (7449336519552).

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

3134727589248 is a wasteful number, since it uses less digits than its factorization.

3134727589248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4765 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 3134727589248 in words is "three trillion, one hundred thirty-four billion, seven hundred twenty-seven million, five hundred eighty-nine thousand, two hundred forty-eight".