3414346490112 has 72 divisors (see below), whose sum is σ = 9565411534560. Its totient is φ = 1078214676480.

The previous prime is 3414346490099. The next prime is 3414346490123. The reversal of 3414346490112 is 2110946434143.

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 7 ways as a sum of consecutive naturals, for example, 116979189 + ... + 117008372.

It is an arithmetic number, because the mean of its divisors is an integer number (132852937980).

Almost surely, 2^{3414346490112} is an apocalyptic number.

3414346490112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3414346490112 is an abundant number, since it is smaller than the sum of its proper divisors (6151065044448).

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

3414346490112 is a wasteful number, since it uses less digits than its factorization.

3414346490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233987599 (or 233987585 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3414346490112 in words is "three trillion, four hundred fourteen billion, three hundred forty-six million, four hundred ninety thousand, one hundred twelve".