34436224900 has 243 divisors, whose sum is σ = 95945825871. Its totient is φ = 10688832000.

The previous prime is 34436224799. The next prime is 34436224903. The reversal of 34436224900 is 942263443.

The square root of 34436224900 is 185570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 512479044 + 33923745856 = 22638^2 + 184184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34436224900.

It is not an unprimeable number, because it can be changed into a prime (34436224903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 142888780 + ... + 142889020.

Almost surely, 2^34436224900 is an apocalyptic number.

34436224900 is the 185570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34436224900

34436224900 is an abundant number, since it is smaller than the sum of its proper divisors (61509600971).

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

34436224900 is a wasteful number, since it uses less digits than its factorization.

34436224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 34436224900 in words is "thirty-four billion, four hundred thirty-six million, two hundred twenty-four thousand, nine hundred".