34450313472 has 180 divisors, whose sum is σ = 102884063436. Its totient is φ = 11465625600.

The previous prime is 34450313441. The next prime is 34450313479. The reversal of 34450313472 is 27431305443.

34450313472 is a `hidden beast` number, since 3 + 4 + 450 + 3 + 134 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7690588416 + 26759725056 = 87696^2 + 163584^2 .

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 (34450313479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26479222 + ... + 26480522.

Almost surely, 2^34450313472 is an apocalyptic number.

34450313472 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 34450313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442031718).

34450313472 is an abundant number, since it is smaller than the sum of its proper divisors (68433749964).

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

34450313472 is a wasteful number, since it uses less digits than its factorization.

34450313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34450313472 in words is "thirty-four billion, four hundred fifty million, three hundred thirteen thousand, four hundred seventy-two".