3414134398185 has 384 divisors, whose sum is σ = 7576837632000. Its totient is φ = 1440223690752.

The previous prime is 3414134398183. The next prime is 3414134398267. The reversal of 3414134398185 is 5818934314143.

3414134398185 is a `hidden beast` number, since 3 + 4 + 1 + 41 + 34 + 398 + 185 = 666.

3414134398185 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3414134398185 - 2¹ = 3414134398183 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3414134398183) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1077352281 + ... + 1077355449.

It is an arithmetic number, because the mean of its divisors is an integer number (19731348000).

Almost surely, 2^{3414134398185} is an apocalyptic number.

3414134398185 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3414134398185 is an abundant number, since it is smaller than the sum of its proper divisors (4162703233815).

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

3414134398185 is a wasteful number, since it uses less digits than its factorization.

3414134398185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3375 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 3414134398185 in words is "three trillion, four hundred fourteen billion, one hundred thirty-four million, three hundred ninety-eight thousand, one hundred eighty-five".