34108200 has 144 divisors (see below), whose sum is σ = 130958880. Its totient is φ = 7793280.

The previous prime is 34108199. The next prime is 34108213. The reversal of 34108200 is 280143.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11247 + ... + 13953.

Almost surely, 2^34108200 is an apocalyptic number.

34108200 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 34108200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65479440).

34108200 is an abundant number, since it is smaller than the sum of its proper divisors (96850680).

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

34108200 is a wasteful number, since it uses less digits than its factorization.

34108200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34108200 is about 5840.2225984974. Note that the first 3 decimals coincide. The cubic root of 34108200 is about 324.3044691674.

Adding to 34108200 its reverse (280143), we get a palindrome (34388343).

The spelling of 34108200 in words is "thirty-four million, one hundred eight thousand, two hundred".