34040366160 has 160 divisors (see below), whose sum is σ = 116590752000. Its totient is φ = 8171986944.

The previous prime is 34040366159. The next prime is 34040366179. The reversal of 34040366160 is 6166304043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87535 + ... + 275214.

It is an arithmetic number, because the mean of its divisors is an integer number (728692200).

Almost surely, 2^34040366160 is an apocalyptic number.

34040366160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34040366160 is an abundant number, since it is smaller than the sum of its proper divisors (82550385840).

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

34040366160 is a wasteful number, since it uses less digits than its factorization.

34040366160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362805 (or 362799 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 34040366160 in words is "thirty-four billion, forty million, three hundred sixty-six thousand, one hundred sixty".