34540222500 has 675 divisors, whose sum is σ = 133516588359. Its totient is φ = 7761096000.

The previous prime is 34540222489. The next prime is 34540222567. The reversal of 34540222500 is 522204543.

It is a happy number.

The square root of 34540222500 is 185850.

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

34540222500 is a `hidden beast` number, since 3 + 4 + 5 + 402 + 2 + 250 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2707953444 + 31832269056 = 52038^2 + 178416^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 224 ways as a sum of consecutive naturals, for example, 585427471 + ... + 585427529.

Almost surely, 2^34540222500 is an apocalyptic number.

34540222500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34540222500 is the 185850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540222500

34540222500 is an abundant number, since it is smaller than the sum of its proper divisors (98976365859).

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

34540222500 is an equidigital number, since it uses as much as digits as its factorization.

34540222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 34540222500 in words is "thirty-four billion, five hundred forty million, two hundred twenty-two thousand, five hundred".