33854106120 has 64 divisors (see below), whose sum is σ = 101579598720. Its totient is φ = 9026225664.

The previous prime is 33854106103. The next prime is 33854106127. The reversal of 33854106120 is 2160145833.

It is a super-2 number, since 2×33854106120² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33854106127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802269 + ... + 843411.

It is an arithmetic number, because the mean of its divisors is an integer number (1587181230).

Almost surely, 2^33854106120 is an apocalyptic number.

33854106120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33854106120 is an abundant number, since it is smaller than the sum of its proper divisors (67725492600).

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

33854106120 is a wasteful number, since it uses less digits than its factorization.

33854106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48014 (or 48010 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 33854106120 in words is "thirty-three billion, eight hundred fifty-four million, one hundred six thousand, one hundred twenty".