34395782521 has 9 divisors (see below), whose sum is σ = 34612454149. Its totient is φ = 34180462300.

The previous prime is 34395782513. The next prime is 34395782579. The reversal of 34395782521 is 12528759343.

The square root of 34395782521 is 185461.

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

It is not a de Polignac number, because 34395782521 - 2³ = 34395782513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34395782621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35422566 + ... + 35423536.

Almost surely, 2^34395782521 is an apocalyptic number.

34395782521 is the 185461-st square number.

34395782521 is the 92731-st centered octagonal number.

It is an amenable number.

34395782521 is a deficient number, since it is larger than the sum of its proper divisors (216671628).

34395782521 is an frugal number, since it uses more digits than its factorization.

34395782521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 1162 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

Multiplying 34395782521 by its sum of digits (49), we get a square (1685393343529 = 1298227²).

The spelling of 34395782521 in words is "thirty-four billion, three hundred ninety-five million, seven hundred eighty-two thousand, five hundred twenty-one".