34114828804 has 81 divisors (see below), whose sum is σ = 70761970503. Its totient is φ = 14349128976.

The previous prime is 34114828801. The next prime is 34114828807. The reversal of 34114828804 is 40882841143.

The square root of 34114828804 is 184702.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (34114828801) and next prime (34114828807).

It is not an unprimeable number, because it can be changed into a prime (34114828801) 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, 204280329 + ... + 204280495.

Almost surely, 2^34114828804 is an apocalyptic number.

34114828804 is the 184702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34114828804

34114828804 is an abundant number, since it is smaller than the sum of its proper divisors (36647141699).

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

34114828804 is an equidigital number, since it uses as much as digits as its factorization.

34114828804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 34114828804 in words is "thirty-four billion, one hundred fourteen million, eight hundred twenty-eight thousand, eight hundred four".