34812800 has 192 divisors, whose sum is σ = 100172160. Its totient is φ = 11827200.

The previous prime is 34812797. The next prime is 34812829. The reversal of 34812800 is 821843.

It is a self number, because there is not a number n which added to its sum of digits gives 34812800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809579 + ... + 809621.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 2^34812800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

34812800 is an abundant number, since it is smaller than the sum of its proper divisors (65359360).

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

34812800 is a wasteful number, since it uses less digits than its factorization.

34812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 34812800 is about 5900.2372833641. The cubic root of 34812800 is about 326.5224037903.

The spelling of 34812800 in words is "thirty-four million, eight hundred twelve thousand, eight hundred".