34205400 has 144 divisors (see below), whose sum is σ = 118772160. Its totient is φ = 8812800.

The previous prime is 34205389. The next prime is 34205407. The reversal of 34205400 is 450243.

It is a happy number.

34205400 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34205407) by changing a digit.

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, 55494 + ... + 56106.

Almost surely, 2^34205400 is an apocalyptic number.

34205400 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 34205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59386080).

34205400 is an abundant number, since it is smaller than the sum of its proper divisors (84566760).

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

34205400 is a wasteful number, since it uses less digits than its factorization.

34205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34205400 is about 5848.5382789206. The cubic root of 34205400 is about 324.6122397135.

Adding to 34205400 its reverse (450243), we get a palindrome (34655643).

The spelling of 34205400 in words is "thirty-four million, two hundred five thousand, four hundred".