34330400 has 72 divisors (see below), whose sum is σ = 90283284. Its totient is φ = 12672000.

The previous prime is 34330399. The next prime is 34330411. The reversal of 34330400 is 403343.

It can be written as a sum of positive squares in 6 ways, for example, as 2835856 + 31494544 = 1684^2 + 5612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8750 + ... + 12050.

Almost surely, 2^34330400 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 34330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45141642).

34330400 is an abundant number, since it is smaller than the sum of its proper divisors (55952884).

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

34330400 is a wasteful number, since it uses less digits than its factorization.

34330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 34330400 is about 5859.2149644812. The cubic root of 34330400 is about 325.0071793286.

Adding to 34330400 its reverse (403343), we get a palindrome (34733743).

The spelling of 34330400 in words is "thirty-four million, three hundred thirty thousand, four hundred".