34044414112 has 48 divisors (see below), whose sum is σ = 68982490080. Its totient is φ = 16532008192.

The previous prime is 34044414109. The next prime is 34044414119. The reversal of 34044414112 is 21141444043.

It is a super-3 number, since 3×34044414112³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34044414119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48078 + ... + 265330.

It is an arithmetic number, because the mean of its divisors is an integer number (1437135210).

Almost surely, 2^34044414112 is an apocalyptic number.

34044414112 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 34044414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34491245040).

34044414112 is an abundant number, since it is smaller than the sum of its proper divisors (34938075968).

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

34044414112 is a wasteful number, since it uses less digits than its factorization.

34044414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217405 (or 217397 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34044414112 its reverse (21141444043), we get a palindrome (55185858155).

The spelling of 34044414112 in words is "thirty-four billion, forty-four million, four hundred fourteen thousand, one hundred twelve".