3129740417216 has 56 divisors (see below), whose sum is σ = 7098671543040. Its totient is φ = 1341153407232.

The previous prime is 3129740417203. The next prime is 3129740417227. The reversal of 3129740417216 is 6127140479213.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 3279095 + ... + 4124553.

It is an arithmetic number, because the mean of its divisors is an integer number (126761991840).

Almost surely, 2^{3129740417216} is an apocalyptic number.

It is an amenable number.

3129740417216 is an abundant number, since it is smaller than the sum of its proper divisors (3968931125824).

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

3129740417216 is an equidigital number, since it uses as much as digits as its factorization.

3129740417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853741 (or 853731 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 3129740417216 in words is "three trillion, one hundred twenty-nine billion, seven hundred forty million, four hundred seventeen thousand, two hundred sixteen".