34130800 has 60 divisors (see below), whose sum is σ = 89465256. Its totient is φ = 12409600.

The previous prime is 34130773. The next prime is 34130807. The reversal of 34130800 is 803143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 8278.

Almost surely, 2^34130800 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 34130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44732628).

34130800 is an abundant number, since it is smaller than the sum of its proper divisors (55334456).

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

34130800 is a wasteful number, since it uses less digits than its factorization.

34130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 34130800 is about 5842.1571358532. The cubic root of 34130800 is about 324.3760811044.

Adding to 34130800 its reverse (803143), we get a palindrome (34933943).

The spelling of 34130800 in words is "thirty-four million, one hundred thirty thousand, eight hundred".