34113200 has 60 divisors (see below), whose sum is σ = 89419128. Its totient is φ = 12403200.

The previous prime is 34113197. The next prime is 34113217. The reversal of 34113200 is 231143.

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, 524 + ... + 8276.

Almost surely, 2^34113200 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 34113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44709564).

34113200 is an abundant number, since it is smaller than the sum of its proper divisors (55305928).

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

34113200 is a wasteful number, since it uses less digits than its factorization.

34113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34113200 is about 5840.6506486863. The cubic root of 34113200 is about 324.3203152407.

Adding to 34113200 its reverse (231143), we get a palindrome (34344343).

The spelling of 34113200 in words is "thirty-four million, one hundred thirteen thousand, two hundred".