34510492900 has 81 divisors (see below), whose sum is σ = 81148276881. Its totient is φ = 12733418880.

The previous prime is 34510492873. The next prime is 34510492969. The reversal of 34510492900 is 929401543.

The square root of 34510492900 is 185770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 32057470116 + 2453022784 = 179046^2 + 49528^2 .

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 34510492900.

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, 24149386 + ... + 24150814.

Almost surely, 2^34510492900 is an apocalyptic number.

34510492900 is the 185770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34510492900

34510492900 is an abundant number, since it is smaller than the sum of its proper divisors (46637783981).

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

34510492900 is a wasteful number, since it uses less digits than its factorization.

34510492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 34510492900 in words is "thirty-four billion, five hundred ten million, four hundred ninety-two thousand, nine hundred".