11034400 has 72 divisors (see below), whose sum is σ = 29037204. Its totient is φ = 4070400.

The previous prime is 11034379. The next prime is 11034403. The reversal of 11034400 is 443011.

It can be written as a sum of positive squares in 6 ways, for example, as 2808976 + 8225424 = 1676^2 + 2868^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11034403) 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, 9870 + ... + 10930.

Almost surely, 2^11034400 is an apocalyptic number.

11034400 is a gapful number since it is divisible by the number (10) 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 11034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14518602).

11034400 is an abundant number, since it is smaller than the sum of its proper divisors (18002804).

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

11034400 is a wasteful number, since it uses less digits than its factorization.

11034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11034400 is about 3321.8067373043. The cubic root of 11034400 is about 222.6296008836.

Adding to 11034400 its reverse (443011), we get a palindrome (11477411).

The spelling of 11034400 in words is "eleven million, thirty-four thousand, four hundred".