34220314112 has 80 divisors (see below), whose sum is σ = 72694052640. Its totient is φ = 16057147392.

The previous prime is 34220314109. The next prime is 34220314127. The reversal of 34220314112 is 21141302243.

It is a super-3 number, since 3×34220314112³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596714 + ... + 651542.

It is an arithmetic number, because the mean of its divisors is an integer number (908675658).

Almost surely, 2^34220314112 is an apocalyptic number.

34220314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347026320).

34220314112 is an abundant number, since it is smaller than the sum of its proper divisors (38473738528).

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

34220314112 is an equidigital number, since it uses as much as digits as its factorization.

34220314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54923 (or 54907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34220314112 its reverse (21141302243), we get a palindrome (55361616355).

The spelling of 34220314112 in words is "thirty-four billion, two hundred twenty million, three hundred fourteen thousand, one hundred twelve".