368100864 has 240 divisors, whose sum is σ = 1164354048. Its totient is φ = 111476736.

The previous prime is 368100853. The next prime is 368100871. The reversal of 368100864 is 468001863.

It is a happy number.

It is a super-3 number, since 3×368100864³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2898369 + ... + 2898495.

Almost surely, 2^368100864 is an apocalyptic number.

368100864 is a gapful number since it is divisible by the number (34) 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 368100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582177024).

368100864 is an abundant number, since it is smaller than the sum of its proper divisors (796253184).

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

368100864 is a wasteful number, since it uses less digits than its factorization.

368100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 368100864 is about 19185.9548628678. The cubic root of 368100864 is about 716.6750393349.

Subtracting 368100864 from its reverse (468001863), we obtain a palindrome (99900999).

The spelling of 368100864 in words is "three hundred sixty-eight million, one hundred thousand, eight hundred sixty-four".