34830010384 has 135 divisors (see below), whose sum is σ = 75884027877. Its totient is φ = 15479672832.

The previous prime is 34830010361. The next prime is 34830010393. The reversal of 34830010384 is 48301003843.

It is a happy number.

The square root of 34830010384 is 186628.

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 16946832400 + 17883177984 = 130180^2 + 133728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 359072224 + ... + 359072320.

Almost surely, 2^34830010384 is an apocalyptic number.

34830010384 is the 186628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34830010384

34830010384 is an abundant number, since it is smaller than the sum of its proper divisors (41054017493).

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

34830010384 is an equidigital number, since it uses as much as digits as its factorization.

34830010384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 34830010384 in words is "thirty-four billion, eight hundred thirty million, ten thousand, three hundred eighty-four".