34118400 has 108 divisors (see below), whose sum is σ = 112661192. Its totient is φ = 9093120.

The previous prime is 34118389. The next prime is 34118401. The reversal of 34118400 is 481143.

It is not an unprimeable number, because it can be changed into a prime (34118401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18312 + ... + 20088.

Almost surely, 2^34118400 is an apocalyptic number.

34118400 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 34118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56330596).

34118400 is an abundant number, since it is smaller than the sum of its proper divisors (78542792).

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

34118400 is a wasteful number, since it uses less digits than its factorization.

34118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34118400 is about 5841.0957876070. The cubic root of 34118400 is about 324.3367935146.

Adding to 34118400 its reverse (481143), we get a palindrome (34599543).

It can be divided in two parts, 3411 and 8400, that added together give a palindrome (11811).

The spelling of 34118400 in words is "thirty-four million, one hundred eighteen thousand, four hundred".