368808768 has 112 divisors (see below), whose sum is σ = 1104960960. Its totient is φ = 120586752.

The previous prime is 368808751. The next prime is 368808779. The reversal of 368808768 is 867808863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89571 + ... + 93597.

Almost surely, 2^368808768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552480480).

368808768 is an abundant number, since it is smaller than the sum of its proper divisors (736152192).

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

368808768 is a wasteful number, since it uses less digits than its factorization.

368808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 368808768 is about 19204.3944970936. The cubic root of 368808768 is about 717.1341637212.

The spelling of 368808768 in words is "three hundred sixty-eight million, eight hundred eight thousand, seven hundred sixty-eight".