368382880320 has 448 divisors, whose sum is σ = 1485974224896. Its totient is φ = 75216936960.

The previous prime is 368382880309. The next prime is 368382880367. The reversal of 368382880320 is 23088283863.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2640147 + ... + 2776173.

It is an arithmetic number, because the mean of its divisors is an integer number (3316906752).

Almost surely, 2^368382880320 is an apocalyptic number.

368382880320 is a gapful number since it is divisible by the number (30) 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 368382880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742987112448).

368382880320 is an abundant number, since it is smaller than the sum of its proper divisors (1117591344576).

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

368382880320 is a wasteful number, since it uses less digits than its factorization.

368382880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136098 (or 136088 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 368382880320 in words is "three hundred sixty-eight billion, three hundred eighty-two million, eight hundred eighty thousand, three hundred twenty".