34998552241 has 9 divisors (see below), whose sum is σ = 36252633963. Its totient is φ = 33786467400.

The previous prime is 34998552221. The next prime is 34998552283. The reversal of 34998552241 is 14225589943.

It is a happy number.

The square root of 34998552241 is 187079.

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., 18352391841 + 16646160400 = 135471^2 + 129020^2 .

It is not a de Polignac number, because 34998552241 - 2²⁹ = 34461681329 is a prime.

It is a super-3 number, since 3×34998552241³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

Its product of digits (3110400) is a multiple of the sum of its prime divisors (6480).

It is not an unprimeable number, because it can be changed into a prime (34998552221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5422066 + ... + 5428516.

Almost surely, 2^34998552241 is an apocalyptic number.

34998552241 is the 187079-th square number.

34998552241 is the 93540-th centered octagonal number.

It is an amenable number.

34998552241 is a deficient number, since it is larger than the sum of its proper divisors (1254081722).

34998552241 is an frugal number, since it uses more digits than its factorization.

34998552241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 6480 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 34998552241 in words is "thirty-four billion, nine hundred ninety-eight million, five hundred fifty-two thousand, two hundred forty-one".