11344400 has 60 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 4467840.

The previous prime is 11344391. The next prime is 11344427. The reversal of 11344400 is 444311.

It is a super-2 number, since 2×11344400² = 257390822720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31421 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^11344400 is an apocalyptic number.

11344400 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 11344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

11344400 is an abundant number, since it is smaller than the sum of its proper divisors (16332400).

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

11344400 is a wasteful number, since it uses less digits than its factorization.

11344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 11344400 is about 3368.1448899951. The cubic root of 11344400 is about 224.6952252124.

Adding to 11344400 its reverse (444311), we get a palindrome (11788711).

The spelling of 11344400 in words is "eleven million, three hundred forty-four thousand, four hundred".