34224275456 has 136 divisors (see below), whose sum is σ = 79573728384. Its totient is φ = 14415298560.

The previous prime is 34224275419. The next prime is 34224275467. The reversal of 34224275456 is 65457242243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27983261 + ... + 27984483.

It is an arithmetic number, because the mean of its divisors is an integer number (585100944).

Almost surely, 2^34224275456 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 34224275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39786864192).

34224275456 is an abundant number, since it is smaller than the sum of its proper divisors (45349452928).

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

34224275456 is an frugal number, since it uses more digits than its factorization.

34224275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1293 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 44.

The spelling of 34224275456 in words is "thirty-four billion, two hundred twenty-four million, two hundred seventy-five thousand, four hundred fifty-six".