34800741 has 6 divisors (see below), whose sum is σ = 50267750. Its totient is φ = 23200488.

The previous prime is 34800739. The next prime is 34800743. The reversal of 34800741 is 14700843.

It is an interprime number because it is at equal distance from previous prime (34800739) and next prime (34800743).

It can be written as a sum of positive squares in only one way, i.e., 22752900 + 12047841 = 4770^2 + 3471^2 .

It is not a de Polignac number, because 34800741 - 2¹ = 34800739 is a prime.

It is a super-3 number, since 3×34800741³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1933366 + ... + 1933383.

Almost surely, 2^34800741 is an apocalyptic number.

It is an amenable number.

34800741 is a deficient number, since it is larger than the sum of its proper divisors (15467009).

34800741 is a wasteful number, since it uses less digits than its factorization.

34800741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866755 (or 3866752 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34800741 is about 5899.2152867987. The cubic root of 34800741 is about 326.4846974638.

The spelling of 34800741 in words is "thirty-four million, eight hundred thousand, seven hundred forty-one".