34327196176 has 135 divisors (see below), whose sum is σ = 83941605351. Its totient is φ = 13553309952.

The previous prime is 34327196173. The next prime is 34327196201. The reversal of 34327196176 is 67169172343.

It is a happy number.

The square root of 34327196176 is 185276.

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 93315600 + 34233880576 = 9660^2 + 185024^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34327196173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67440210 + ... + 67440718.

Almost surely, 2^34327196176 is an apocalyptic number.

34327196176 is the 185276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34327196176

34327196176 is an abundant number, since it is smaller than the sum of its proper divisors (49614409175).

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

34327196176 is an equidigital number, since it uses as much as digits as its factorization.

34327196176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 531 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

Multiplying 34327196176 by its sum of digits (49), we get a square (1682032612624 = 1296932²).

34327196176 divided by its sum of digits (49) gives a square (700555024 = 26468²).

The spelling of 34327196176 in words is "thirty-four billion, three hundred twenty-seven million, one hundred ninety-six thousand, one hundred seventy-six".