34122400 has 144 divisors (see below), whose sum is σ = 95478264. Its totient is φ = 11796480.

The previous prime is 34122397. The next prime is 34122401. The reversal of 34122400 is 422143.

34122400 is nontrivially palindromic in base 9.

34122400 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 12 ways, for example, as 156816 + 33965584 = 396^2 + 5828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34122401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176704 + ... + 176896.

Almost surely, 2^34122400 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 34122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47739132).

34122400 is an abundant number, since it is smaller than the sum of its proper divisors (61355864).

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

34122400 is a wasteful number, since it uses less digits than its factorization.

34122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34122400 is about 5841.4381790788. The cubic root of 34122400 is about 324.3494679706.

Adding to 34122400 its reverse (422143), we get a palindrome (34544543).

It can be divided in two parts, 34 and 122400, that multiplied together give a square (4161600 = 2040²).

The spelling of 34122400 in words is "thirty-four million, one hundred twenty-two thousand, four hundred".