368003636000 has 384 divisors, whose sum is σ = 1214023749120. Its totient is φ = 105878016000.

The previous prime is 368003635969. The next prime is 368003636071. The reversal of 368003636000 is 636300863.

It is a super-2 number, since 2×368003636000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 3958046 + ... + 4049954.

It is an arithmetic number, because the mean of its divisors is an integer number (3161520180).

Almost surely, 2^368003636000 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 368003636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607011874560).

368003636000 is an abundant number, since it is smaller than the sum of its proper divisors (846020113120).

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

368003636000 is a wasteful number, since it uses less digits than its factorization.

368003636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91965 (or 91947 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

Adding to 368003636000 its reverse (636300863), we get a palindrome (368639936863).

The spelling of 368003636000 in words is "three hundred sixty-eight billion, three million, six hundred thirty-six thousand".