368218368 has 324 divisors, whose sum is σ = 1305216640. Its totient is φ = 97763328.

The previous prime is 368218343. The next prime is 368218369. The reversal of 368218368 is 863812863.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (368218369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4660953 + ... + 4661031.

Almost surely, 2^368218368 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 368218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652608320).

368218368 is an abundant number, since it is smaller than the sum of its proper divisors (936998272).

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

368218368 is a wasteful number, since it uses less digits than its factorization.

368218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 368218368 is about 19189.0168586095. The cubic root of 368218368 is about 716.7512894727.

The spelling of 368218368 in words is "three hundred sixty-eight million, two hundred eighteen thousand, three hundred sixty-eight".