34114410220 has 48 divisors (see below), whose sum is σ = 79031181600. Its totient is φ = 12265848320.

The previous prime is 34114410199. The next prime is 34114410223. The reversal of 34114410220 is 2201441143.

It is a happy number.

It is a super-3 number, since 3×34114410220³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34114410191 and 34114410200.

It is not an unprimeable number, because it can be changed into a prime (34114410223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851575 + ... + 890734.

It is an arithmetic number, because the mean of its divisors is an integer number (1646482950).

Almost surely, 2^34114410220 is an apocalyptic number.

It is an amenable number.

34114410220 is an abundant number, since it is smaller than the sum of its proper divisors (44916771380).

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

34114410220 is a wasteful number, since it uses less digits than its factorization.

34114410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742418 (or 1742416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 34114410220 its reverse (2201441143), we get a palindrome (36315851363).

The spelling of 34114410220 in words is "thirty-four billion, one hundred fourteen million, four hundred ten thousand, two hundred twenty".