3385840090167 has 16 divisors (see below), whose sum is σ = 5016090060000. Its totient is φ = 2257212926592.

The previous prime is 3385840090147. The next prime is 3385840090219. The reversal of 3385840090167 is 7610900485833.

It is not a de Polignac number, because 3385840090167 - 2¹⁰ = 3385840089143 is a prime.

It is a super-2 number, since 2×3385840090167² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385840090117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121759 + ... + 6651887.

It is an arithmetic number, because the mean of its divisors is an integer number (313505628750).

Almost surely, 2^{3385840090167} is an apocalyptic number.

3385840090167 is a deficient number, since it is larger than the sum of its proper divisors (1630249969833).

3385840090167 is a wasteful number, since it uses less digits than its factorization.

3385840090167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766687 (or 766681 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3385840090167 in words is "three trillion, three hundred eighty-five billion, eight hundred forty million, ninety thousand, one hundred sixty-seven".