3834117050085 has 96 divisors (see below), whose sum is σ = 8003230709760. Its totient is φ = 1658770130304.

The previous prime is 3834117050081. The next prime is 3834117050201. The reversal of 3834117050085 is 5800507114383.

It is a happy number.

3834117050085 is a `hidden beast` number, since 38 + 3 + 41 + 1 + 70 + 500 + 8 + 5 = 666.

It is not a de Polignac number, because 3834117050085 - 2² = 3834117050081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3834117050085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834117050081) 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, 5456254 + ... + 6118736.

It is an arithmetic number, because the mean of its divisors is an integer number (83366986560).

Almost surely, 2^{3834117050085} is an apocalyptic number.

3834117050085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3834117050085 is an abundant number, since it is smaller than the sum of its proper divisors (4169113659675).

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

3834117050085 is a wasteful number, since it uses less digits than its factorization.

3834117050085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663487 (or 663484 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 3834117050085 in words is "three trillion, eight hundred thirty-four billion, one hundred seventeen million, fifty thousand, eighty-five".