34444168549680 has 160 divisors (see below), whose sum is σ = 110509132677120. Its totient is φ = 8865608555520.

The previous prime is 34444168549603. The next prime is 34444168549753. The reversal of 34444168549680 is 8694586144443.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3194335 + ... + 8893374.

It is an arithmetic number, because the mean of its divisors is an integer number (690682079232).

Almost surely, 2^{34444168549680} is an apocalyptic number.

34444168549680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34444168549680 is an abundant number, since it is smaller than the sum of its proper divisors (76064964127440).

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

34444168549680 is a wasteful number, since it uses less digits than its factorization.

34444168549680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088139 (or 12088133 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 66.

The spelling of 34444168549680 in words is "thirty-four trillion, four hundred forty-four billion, one hundred sixty-eight million, five hundred forty-nine thousand, six hundred eighty".