3414429847656 has 128 divisors (see below), whose sum is σ = 10388732112000. Its totient is φ = 1034255932416.

The previous prime is 3414429847643. The next prime is 3414429847687. The reversal of 3414429847656 is 6567489244143.

3414429847656 is a `hidden beast` number, since 3 + 4 + 1 + 442 + 98 + 47 + 65 + 6 = 666.

3414429847656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3414429847593 and 3414429847602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15925506 + ... + 16138481.

It is an arithmetic number, because the mean of its divisors is an integer number (81161969625).

Almost surely, 2^{3414429847656} is an apocalyptic number.

3414429847656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3414429847656 is an abundant number, since it is smaller than the sum of its proper divisors (6974302264344).

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

3414429847656 is a wasteful number, since it uses less digits than its factorization.

3414429847656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064048 (or 32064038 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 3414429847656 in words is "three trillion, four hundred fourteen billion, four hundred twenty-nine million, eight hundred forty-seven thousand, six hundred fifty-six".