34911801409 has 27 divisors (see below), whose sum is σ = 38510783337. Its totient is φ = 31641418368.

The previous prime is 34911801347. The next prime is 34911801521. The reversal of 34911801409 is 90410811943.

The square root of 34911801409 is 186847.

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 3450975025 + 31460826384 = 58745^2 + 177372^2 .

It is not a de Polignac number, because 34911801409 - 2⁹ = 34911800897 is a prime.

It is a super-3 number, since 3×34911801409³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34911801709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92115382 + ... + 92115760.

Almost surely, 2^34911801409 is an apocalyptic number.

34911801409 is the 186847-th square number.

34911801409 is the 93424-th centered octagonal number.

It is an amenable number.

34911801409 is a deficient number, since it is larger than the sum of its proper divisors (3598981928).

34911801409 is an frugal number, since it uses more digits than its factorization.

34911801409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 34911801409 in words is "thirty-four billion, nine hundred eleven million, eight hundred one thousand, four hundred nine".