34096361104 has 135 divisors (see below), whose sum is σ = 74013878043. Its totient is φ = 15209415936.

The previous prime is 34096361087. The next prime is 34096361141. The reversal of 34096361104 is 40116369043.

The square root of 34096361104 is 184652.

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 884943504 + 33211417600 = 29748^2 + 182240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508900879 + ... + 508900945.

Almost surely, 2^34096361104 is an apocalyptic number.

34096361104 is the 184652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34096361104

34096361104 is an abundant number, since it is smaller than the sum of its proper divisors (39917516939).

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

34096361104 is an equidigital number, since it uses as much as digits as its factorization.

34096361104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 34096361104 in words is "thirty-four billion, ninety-six million, three hundred sixty-one thousand, one hundred four".