1344534200 has 72 divisors (see below), whose sum is σ = 3161728440. Its totient is φ = 531720000.

The previous prime is 1344534193. The next prime is 1344534203. The reversal of 1344534200 is 24354431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344534200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344534203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6372095 + ... + 6372305.

It is an arithmetic number, because the mean of its divisors is an integer number (43912895).

Almost surely, 2^1344534200 is an apocalyptic number.

1344534200 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 1344534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580864220).

1344534200 is an abundant number, since it is smaller than the sum of its proper divisors (1817194240).

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

1344534200 is a wasteful number, since it uses less digits than its factorization.

1344534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1344534200 is about 36667.8905856336. The cubic root of 1344534200 is about 1103.7158632183.

Adding to 1344534200 its reverse (24354431), we get a palindrome (1368888631).

The spelling of 1344534200 in words is "one billion, three hundred forty-four million, five hundred thirty-four thousand, two hundred".