34220120321 has 16 divisors (see below), whose sum is σ = 36327992400. Its totient is φ = 32176972800.

The previous prime is 34220120303. The next prime is 34220120323. The reversal of 34220120321 is 12302102243.

It can be written as a sum of positive squares in 8 ways, for example, as 4216684096 + 30003436225 = 64936^2 + 173215^2 .

It is a cyclic number.

It is not a de Polignac number, because 34220120321 - 2³⁰ = 33146378497 is a prime.

It is a super-3 number, since 3×34220120321³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34220120293 and 34220120302.

It is not an unprimeable number, because it can be changed into a prime (34220120323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651251 + ... + 701831.

It is an arithmetic number, because the mean of its divisors is an integer number (2270499525).

Almost surely, 2^34220120321 is an apocalyptic number.

It is an amenable number.

34220120321 is a deficient number, since it is larger than the sum of its proper divisors (2107872079).

34220120321 is a wasteful number, since it uses less digits than its factorization.

34220120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51220.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34220120321 its reverse (12302102243), we get a palindrome (46522222564).

The spelling of 34220120321 in words is "thirty-four billion, two hundred twenty million, one hundred twenty thousand, three hundred twenty-one".