3134838720640 has 128 divisors (see below), whose sum is σ = 8530974587520. Its totient is φ = 1090378629120.

The previous prime is 3134838720619. The next prime is 3134838720697. The reversal of 3134838720640 is 460278384313.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9518289 + ... + 9842128.

It is an arithmetic number, because the mean of its divisors is an integer number (66648238965).

Almost surely, 2^{3134838720640} is an apocalyptic number.

It is an amenable number.

3134838720640 is an abundant number, since it is smaller than the sum of its proper divisors (5396135866880).

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

3134838720640 is a wasteful number, since it uses less digits than its factorization.

3134838720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360470 (or 19360458 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 3134838720640 in words is "three trillion, one hundred thirty-four billion, eight hundred thirty-eight million, seven hundred twenty thousand, six hundred forty".