3414481478067 has 96 divisors (see below), whose sum is σ = 5605302078720. Its totient is φ = 1829664184320.

The previous prime is 3414481478047. The next prime is 3414481478071. The reversal of 3414481478067 is 7608741844143.

It is not a de Polignac number, because 3414481478067 - 2¹² = 3414481473971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3414481477998 and 3414481478016.

It is not an unprimeable number, because it can be changed into a prime (3414481478047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10066368 + ... + 10400034.

It is an arithmetic number, because the mean of its divisors is an integer number (58388563320).

Almost surely, 2^{3414481478067} is an apocalyptic number.

3414481478067 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3414481478067 is a deficient number, since it is larger than the sum of its proper divisors (2190820600653).

3414481478067 is a wasteful number, since it uses less digits than its factorization.

3414481478067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333781 (or 333764 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 3414481478067 in words is "three trillion, four hundred fourteen billion, four hundred eighty-one million, four hundred seventy-eight thousand, sixty-seven".