34224552252 has 144 divisors (see below), whose sum is σ = 100045580544. Its totient is φ = 9749568000.

The previous prime is 34224552247. The next prime is 34224552277. The reversal of 34224552252 is 25225542243.

34224552252 is a `hidden beast` number, since 3 + 42 + 2 + 45 + 522 + 52 = 666.

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

Its product of digits (192000) is a multiple of the sum of its prime factors (6000).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6938227 + ... + 6943157.

It is an arithmetic number, because the mean of its divisors is an integer number (694760976).

Almost surely, 2^34224552252 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 34224552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50022790272).

34224552252 is an abundant number, since it is smaller than the sum of its proper divisors (65821028292).

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

34224552252 is a wasteful number, since it uses less digits than its factorization.

34224552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5995 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The spelling of 34224552252 in words is "thirty-four billion, two hundred twenty-four million, five hundred fifty-two thousand, two hundred fifty-two".