34220419272 has 300 divisors, whose sum is σ = 106306933095. Its totient is φ = 10284490944.

The previous prime is 34220419267. The next prime is 34220419307. The reversal of 34220419272 is 27291402243.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34220419272 is a `hidden beast` number, since 342 + 2 + 0 + 41 + 9 + 272 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 599076 + 34219820196 = 774^2 + 184986^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130806.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 74 ways as a sum of consecutive naturals, for example, 795823683 + ... + 795823725.

Almost surely, 2^34220419272 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 34220419272

34220419272 is an abundant number, since it is smaller than the sum of its proper divisors (72086513823).

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

34220419272 is an frugal number, since it uses more digits than its factorization.

34220419272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34220419272 in words is "thirty-four billion, two hundred twenty million, four hundred nineteen thousand, two hundred seventy-two".