3134577464928 has 1152 divisors, whose sum is σ = 12581209267200. Its totient is φ = 749081862144.

The previous prime is 3134577464927. The next prime is 3134577464969. The reversal of 3134577464928 is 8294647754313.

3134577464928 is a `hidden beast` number, since 3 + 1 + 34 + 5 + 77 + 46 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134577464927) 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 191 ways as a sum of consecutive naturals, for example, 240504300 + ... + 240517332.

It is an arithmetic number, because the mean of its divisors is an integer number (10921188600).

Almost surely, 2^{3134577464928} is an apocalyptic number.

3134577464928 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 3134577464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290604633600).

3134577464928 is an abundant number, since it is smaller than the sum of its proper divisors (9446631802272).

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

3134577464928 is a wasteful number, since it uses less digits than its factorization.

3134577464928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13100 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 3134577464928 in words is "three trillion, one hundred thirty-four billion, five hundred seventy-seven million, four hundred sixty-four thousand, nine hundred twenty-eight".