34504983200 has 72 divisors (see below), whose sum is σ = 84303158940. Its totient is φ = 13790873600.

The previous prime is 34504983199. The next prime is 34504983223. The reversal of 34504983200 is 238940543.

It can be written as a sum of positive squares in 6 ways, for example, as 18152711824 + 16352271376 = 134732^2 + 127876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014470 + ... + 1047930.

Almost surely, 2^34504983200 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 34504983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42151579470).

34504983200 is an abundant number, since it is smaller than the sum of its proper divisors (49798175740).

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

34504983200 is a wasteful number, since it uses less digits than its factorization.

34504983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34770 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 34504983200 in words is "thirty-four billion, five hundred four million, nine hundred eighty-three thousand, two hundred".