34800828 has 12 divisors (see below), whose sum is σ = 81201960. Its totient is φ = 11600272.

The previous prime is 34800827. The next prime is 34800851. The reversal of 34800828 is 82800843.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×34800828² = 2422195258971168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450023 + ... + 1450046.

It is an arithmetic number, because the mean of its divisors is an integer number (6766830).

Almost surely, 2^34800828 is an apocalyptic number.

It is an amenable number.

34800828 is an abundant number, since it is smaller than the sum of its proper divisors (46401132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34800828 is a wasteful number, since it uses less digits than its factorization.

34800828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900076 (or 2900074 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 34800828 is about 5899.2226606562. Note that the first 3 decimals coincide. The cubic root of 34800828 is about 326.4849695284.

The spelling of 34800828 in words is "thirty-four million, eight hundred thousand, eight hundred twenty-eight".