34510754720 has 96 divisors (see below), whose sum is σ = 87870040272. Its totient is φ = 12732751872.

The previous prime is 34510754711. The next prime is 34510754723. The reversal of 34510754720 is 2745701543.

It can be written as a sum of positive squares in 8 ways, for example, as 4524983824 + 29985770896 = 67268^2 + 173164^2 .

It is not an unprimeable number, because it can be changed into a prime (34510754723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3099884 + ... + 3110996.

Almost surely, 2^34510754720 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 34510754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935020136).

34510754720 is an abundant number, since it is smaller than the sum of its proper divisors (53359285552).

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

34510754720 is a wasteful number, since it uses less digits than its factorization.

34510754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 34510754720 in words is "thirty-four billion, five hundred ten million, seven hundred fifty-four thousand, seven hundred twenty".