34080104448 has 504 divisors, whose sum is σ = 112511694204. Its totient is φ = 9873653760.

The previous prime is 34080104393. The next prime is 34080104449. The reversal of 34080104448 is 84440108043.

34080104448 is a `hidden beast` number, since 34 + 0 + 80 + 104 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34044678144 + 35426304 = 184512^2 + 5952^2 .

It is a super-2 number, since 2×34080104448² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34080104449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 921083886 + ... + 921083922.

Almost surely, 2^34080104448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34080104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255847102).

34080104448 is an abundant number, since it is smaller than the sum of its proper divisors (78431589756).

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

34080104448 is a wasteful number, since it uses less digits than its factorization.

34080104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 34080104448 in words is "thirty-four billion, eighty million, one hundred four thousand, four hundred forty-eight".