34478272224 has 144 divisors (see below), whose sum is σ = 107093435904. Its totient is φ = 10435027200.

The previous prime is 34478272219. The next prime is 34478272247. The reversal of 34478272224 is 42227287443.

34478272224 is a `hidden beast` number, since 344 + 7 + 82 + 7 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 34478272224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2727679 + ... + 2740289.

It is an arithmetic number, because the mean of its divisors is an integer number (743704416).

Almost surely, 2^34478272224 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 34478272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53546717952).

34478272224 is an abundant number, since it is smaller than the sum of its proper divisors (72615163680).

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

34478272224 is a wasteful number, since it uses less digits than its factorization.

34478272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501 (or 13490 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The spelling of 34478272224 in words is "thirty-four billion, four hundred seventy-eight million, two hundred seventy-two thousand, two hundred twenty-four".