34605000474144 has 96 divisors (see below), whose sum is σ = 92596386072960. Its totient is φ = 11311937574912.

The previous prime is 34605000474119. The next prime is 34605000474203. The reversal of 34605000474144 is 44147400050643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34605000474096 and 34605000474105.

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 15 ways as a sum of consecutive naturals, for example, 9000949 + ... + 12256715.

It is an arithmetic number, because the mean of its divisors is an integer number (964545688260).

Almost surely, 2^{34605000474144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34605000474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46298193036480).

34605000474144 is an abundant number, since it is smaller than the sum of its proper divisors (57991385598816).

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

34605000474144 is a wasteful number, since it uses less digits than its factorization.

34605000474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257922 (or 3257914 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 34605000474144 in words is "thirty-four trillion, six hundred five billion, four hundred seventy-four thousand, one hundred forty-four".