34214224325 has 24 divisors (see below), whose sum is σ = 42655160520. Its totient is φ = 27223654400.

The previous prime is 34214224237. The next prime is 34214224349. The reversal of 34214224325 is 52342241243.

It can be written as a sum of positive squares in 12 ways, for example, as 1568239201 + 32645985124 = 39601^2 + 180682^2 .

It is not a de Polignac number, because 34214224325 - 2⁸ = 34214224069 is a prime.

It is a super-2 number, since 2×34214224325² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34214224291 and 34214224300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4306757 + ... + 4314693.

It is an arithmetic number, because the mean of its divisors is an integer number (1777298355).

Almost surely, 2^34214224325 is an apocalyptic number.

It is an amenable number.

34214224325 is a deficient number, since it is larger than the sum of its proper divisors (8440936195).

34214224325 is a wasteful number, since it uses less digits than its factorization.

34214224325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8852 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

Adding to 34214224325 its reverse (52342241243), we get a palindrome (86556465568).

The spelling of 34214224325 in words is "thirty-four billion, two hundred fourteen million, two hundred twenty-four thousand, three hundred twenty-five".