1344403200 has 324 divisors, whose sum is σ = 5164799640. Its totient is φ = 307077120.

The previous prime is 1344403183. The next prime is 1344403201. The reversal of 1344403200 is 23044431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344403201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940086 + ... + 941514.

Almost surely, 2^1344403200 is an apocalyptic number.

1344403200 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 1344403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582399820).

1344403200 is an abundant number, since it is smaller than the sum of its proper divisors (3820396440).

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

1344403200 is a wasteful number, since it uses less digits than its factorization.

1344403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1344403200 is about 36666.1042381107. The cubic root of 1344403200 is about 1103.6800164856.

Adding to 1344403200 its reverse (23044431), we get a palindrome (1367447631).

The spelling of 1344403200 in words is "one billion, three hundred forty-four million, four hundred three thousand, two hundred".