34226818272 has 672 divisors, whose sum is σ = 114228817920. Its totient is φ = 10044103680.

The previous prime is 34226818237. The next prime is 34226818279. The reversal of 34226818272 is 27281862243.

34226818272 is a `hidden beast` number, since 3 + 422 + 6 + 81 + 82 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34226818279) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 645788998 + ... + 645789050.

It is an arithmetic number, because the mean of its divisors is an integer number (169983360).

Almost surely, 2^34226818272 is an apocalyptic number.

34226818272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34226818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57114408960).

34226818272 is an abundant number, since it is smaller than the sum of its proper divisors (80001999648).

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

34226818272 is a wasteful number, since it uses less digits than its factorization.

34226818272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 34226818272 in words is "thirty-four billion, two hundred twenty-six million, eight hundred eighteen thousand, two hundred seventy-two".