1344342400 has 192 divisors, whose sum is σ = 3458216160. Its totient is φ = 516096000.

The previous prime is 1344342379. The next prime is 1344342431. The reversal of 1344342400 is 42434431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13859152 + ... + 13859248.

Almost surely, 2^1344342400 is an apocalyptic number.

1344342400 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 1344342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729108080).

1344342400 is an abundant number, since it is smaller than the sum of its proper divisors (2113873760).

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

1344342400 is an equidigital number, since it uses as much as digits as its factorization.

1344342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1344342400 is about 36665.2751251099. The cubic root of 1344342400 is about 1103.6633784323.

Adding to 1344342400 its reverse (42434431), we get a palindrome (1386776831).

The spelling of 1344342400 in words is "one billion, three hundred forty-four million, three hundred forty-two thousand, four hundred".