34304167864576 has 243 divisors, whose sum is σ = 74161253144433. Its totient is φ = 15833514639360.

The previous prime is 34304167864537. The next prime is 34304167864579. The reversal of 34304167864576 is 67546876140343.

It is a happy number.

The square root of 34304167864576 is 5856976.

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 29525921618176 + 4778246246400 = 5433776^2 + 2185920^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34304167864579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97178945616 + ... + 97178945968.

Almost surely, 2^{34304167864576} is an apocalyptic number.

34304167864576 is the 5856976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304167864576

34304167864576 is an abundant number, since it is smaller than the sum of its proper divisors (39857085279857).

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

34304167864576 is an frugal number, since it uses more digits than its factorization.

34304167864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 64.

34304167864576 divided by its sum of digits (64) gives a square (536002622884 = 732122²).

The spelling of 34304167864576 in words is "thirty-four trillion, three hundred four billion, one hundred sixty-seven million, eight hundred sixty-four thousand, five hundred seventy-six".