1368744800 has 144 divisors (see below), whose sum is σ = 3724917840. Its totient is φ = 488079360.

The previous prime is 1368744791. The next prime is 1368744803. The reversal of 1368744800 is 84478631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368744803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255752 + ... + 261048.

It is an arithmetic number, because the mean of its divisors is an integer number (25867485).

Almost surely, 2^1368744800 is an apocalyptic number.

1368744800 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 1368744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862458920).

1368744800 is an abundant number, since it is smaller than the sum of its proper divisors (2356173040).

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

1368744800 is a wasteful number, since it uses less digits than its factorization.

1368744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 1368744800 is about 36996.5511906178. The cubic root of 1368744800 is about 1110.3012465917.

It can be divided in two parts, 1368 and 744800, that multiplied together give a square (1018886400 = 31920²).

The spelling of 1368744800 in words is "one billion, three hundred sixty-eight million, seven hundred forty-four thousand, eight hundred".