34008300 has 108 divisors (see below), whose sum is σ = 110357520. Its totient is φ = 8749440.

The previous prime is 34008287. The next prime is 34008319. The reversal of 34008300 is 380043.

34008300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25449 + ... + 26751.

Almost surely, 2^34008300 is an apocalyptic number.

34008300 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 34008300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55178760).

34008300 is an abundant number, since it is smaller than the sum of its proper divisors (76349220).

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

34008300 is a wasteful number, since it uses less digits than its factorization.

34008300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34008300 is about 5831.6635705431. The cubic root of 34008300 is about 323.9875395299.

Adding to 34008300 its reverse (380043), we get a palindrome (34388343).

The spelling of 34008300 in words is "thirty-four million, eight thousand, three hundred".