34123220224 has 36 divisors (see below), whose sum is σ = 69774464340. Its totient is φ = 16645468160.

The previous prime is 34123220213. The next prime is 34123220231. The reversal of 34123220224 is 42202232143.

It can be written as a sum of positive squares in 2 ways, for example, as 3652026624 + 30471193600 = 60432^2 + 174560^2 .

It is a super-2 number, since 2×34123220224² (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 3 ways as a sum of consecutive naturals, for example, 1615039 + ... + 1636030.

It is an arithmetic number, because the mean of its divisors is an integer number (1938179565).

Almost surely, 2^34123220224 is an apocalyptic number.

It is an amenable number.

34123220224 is an abundant number, since it is smaller than the sum of its proper divisors (35651244116).

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

34123220224 is an equidigital number, since it uses as much as digits as its factorization.

34123220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251126 (or 3251112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34123220224 its reverse (42202232143), we get a palindrome (76325452367).

The spelling of 34123220224 in words is "thirty-four billion, one hundred twenty-three million, two hundred twenty thousand, two hundred twenty-four".