34536505600 has 243 divisors, whose sum is σ = 90255032119. Its totient is φ = 13083136000.

The previous prime is 34536505529. The next prime is 34536505657. The reversal of 34536505600 is 650563543.

The square root of 34536505600 is 185840.

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 6376980736 + 28159524864 = 79856^2 + 167808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34536505600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341945550 + ... + 341945650.

Almost surely, 2^34536505600 is an apocalyptic number.

34536505600 is the 185840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34536505600

34536505600 is an abundant number, since it is smaller than the sum of its proper divisors (55718526519).

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

34536505600 is an equidigital number, since it uses as much as digits as its factorization.

34536505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 34536505600 in words is "thirty-four billion, five hundred thirty-six million, five hundred five thousand, six hundred".