1368348800 has 384 divisors, whose sum is σ = 4306391040. Its totient is φ = 418037760.

The previous prime is 1368348797. The next prime is 1368348823. The reversal of 1368348800 is 88438631.

It is a happy number.

It is a super-2 number, since 2×1368348800² = 3744756876922880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10774337 + ... + 10774463.

It is an arithmetic number, because the mean of its divisors is an integer number (11214560).

Almost surely, 2^1368348800 is an apocalyptic number.

1368348800 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 1368348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153195520).

1368348800 is an abundant number, since it is smaller than the sum of its proper divisors (2938042240).

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

1368348800 is a wasteful number, since it uses less digits than its factorization.

1368348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 1368348800 is about 36991.1989532645. The cubic root of 1368348800 is about 1110.1941602299.

The spelling of 1368348800 in words is "one billion, three hundred sixty-eight million, three hundred forty-eight thousand, eight hundred".