34800249 has 16 divisors (see below), whose sum is σ = 50722560. Its totient is φ = 21047760.

The previous prime is 34800223. The next prime is 34800251. The reversal of 34800249 is 94200843.

It is a happy number.

It is not a de Polignac number, because 34800249 - 2⁵ = 34800217 is a prime.

It is a super-2 number, since 2×34800249² = 2422114660924002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34800209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23674 + ... + 25100.

It is an arithmetic number, because the mean of its divisors is an integer number (3170160).

Almost surely, 2^34800249 is an apocalyptic number.

It is an amenable number.

34800249 is a deficient number, since it is larger than the sum of its proper divisors (15922311).

34800249 is a wasteful number, since it uses less digits than its factorization.

34800249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34800249 is about 5899.1735861898. The cubic root of 34800249 is about 326.4831588833.

The spelling of 34800249 in words is "thirty-four million, eight hundred thousand, two hundred forty-nine".