34688845224 has 144 divisors (see below), whose sum is σ = 108168765120. Its totient is φ = 9958438080.

The previous prime is 34688845199. The next prime is 34688845231. The reversal of 34688845224 is 42254888643.

34688845224 is a `hidden beast` number, since 34 + 6 + 8 + 8 + 84 + 522 + 4 = 666.

It is a super-2 number, since 2×34688845224² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225249 + ... + 346575.

It is an arithmetic number, because the mean of its divisors is an integer number (751171980).

Almost surely, 2^34688845224 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 34688845224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084382560).

34688845224 is an abundant number, since it is smaller than the sum of its proper divisors (73479919896).

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

34688845224 is a wasteful number, since it uses less digits than its factorization.

34688845224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121388 (or 121362 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 34688845224 in words is "thirty-four billion, six hundred eighty-eight million, eight hundred forty-five thousand, two hundred twenty-four".