34308314728900 has 27 divisors (see below), whose sum is σ = 74449170065991. Its totient is φ = 13723302462240.

The previous prime is 34308314728889. The next prime is 34308314728901. The reversal of 34308314728900 is 982741380343.

The square root of 34308314728900 is 5857330.

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 16628240795076 + 17680073933824 = 4077774^2 + 4204768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34308314728901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58280434 + ... + 58866166.

Almost surely, 2^{34308314728900} is an apocalyptic number.

34308314728900 is the 5857330-th square number.

It is an amenable number.

34308314728900 is an abundant number, since it is smaller than the sum of its proper divisors (40140855337091).

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

34308314728900 is an frugal number, since it uses more digits than its factorization.

34308314728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171480 (or 585740 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 34308314728900 in words is "thirty-four trillion, three hundred eight billion, three hundred fourteen million, seven hundred twenty-eight thousand, nine hundred".