34295706481 has 9 divisors (see below), whose sum is σ = 34633617291. Its totient is φ = 33961066344.

The previous prime is 34295706469. The next prime is 34295706509. The reversal of 34295706481 is 18460759243.

It is a happy number.

The square root of 34295706481 is 185191.

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

It can be written as a sum of positive squares in only one way, i.e., 23903942881 + 10391763600 = 154609^2 + 101940^2 .

It is not a de Polignac number, because 34295706481 - 2¹⁹ = 34295182193 is a prime.

It is a super-2 number, since 2×34295706481² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34295706581) 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 8 ways as a sum of consecutive naturals, for example, 20184970 + ... + 20186668.

It is an arithmetic number, because the mean of its divisors is an integer number (3848179699).

It is a 1-persistent number, because it is pandigital, but 2⋅34295706481 = 68591412962 is not.

Almost surely, 2^34295706481 is an apocalyptic number.

34295706481 is the 185191-st square number.

34295706481 is the 92596-th centered octagonal number.

It is an amenable number.

34295706481 is a deficient number, since it is larger than the sum of its proper divisors (337910810).

34295706481 is an frugal number, since it uses more digits than its factorization.

34295706481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 34295706481 by its sum of digits (49), we get a square (1680489617569 = 1296337²).

The spelling of 34295706481 in words is "thirty-four billion, two hundred ninety-five million, seven hundred six thousand, four hundred eighty-one".