34241351295321 has 15 divisors (see below), whose sum is σ = 51150739248741. Its totient is φ = 22827532420548.

The previous prime is 34241351295247. The next prime is 34241351295341. The reversal of 34241351295321 is 12359215314243.

The square root of 34241351295321 is 5851611.

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

34241351295321 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 1 + 35 + 1 + 295 + 321 = 666.

It is not a de Polignac number, because 34241351295321 - 2¹¹ = 34241351293273 is a prime.

It is a super-2 number, since 2×34241351295321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34241351295341) 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 14 ways as a sum of consecutive naturals, for example, 52339410 + ... + 52989588.

Almost surely, 2^{34241351295321} is an apocalyptic number.

34241351295321 is the 5851611-st square number.

34241351295321 is the 2925806-th centered octagonal number.

It is an amenable number.

34241351295321 is a deficient number, since it is larger than the sum of its proper divisors (16909387953420).

34241351295321 is an frugal number, since it uses more digits than its factorization.

34241351295321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300370 (or 650182 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 34241351295321 in words is "thirty-four trillion, two hundred forty-one billion, three hundred fifty-one million, two hundred ninety-five thousand, three hundred twenty-one".