34828800 has 120 divisors (see below), whose sum is σ = 115181616. Its totient is φ = 9277440.

The previous prime is 34828793. The next prime is 34828817. The reversal of 34828800 is 882843.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37947 + ... + 38853.

Almost surely, 2^34828800 is an apocalyptic number.

34828800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57590808).

34828800 is an abundant number, since it is smaller than the sum of its proper divisors (80352816).

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

34828800 is an equidigital number, since it uses as much as digits as its factorization.

34828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 917 counting only the distinct ones).

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

The square root of 34828800 is about 5901.5930052826. The cubic root of 34828800 is about 326.5724194769.

The spelling of 34828800 in words is "thirty-four million, eight hundred twenty-eight thousand, eight hundred".