368536896 has 336 divisors, whose sum is σ = 1331366400. Its totient is φ = 94887936.

The previous prime is 368536879. The next prime is 368536907. The reversal of 368536896 is 698635863.

368536896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140820 + ... + 4140908.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^368536896 is an apocalyptic number.

368536896 is a gapful number since it is divisible by the number (36) 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 368536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

368536896 is an abundant number, since it is smaller than the sum of its proper divisors (962829504).

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

368536896 is a wasteful number, since it uses less digits than its factorization.

368536896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 368536896 is about 19197.3148122335. The cubic root of 368536896 is about 716.9579055952.

The spelling of 368536896 in words is "three hundred sixty-eight million, five hundred thirty-six thousand, eight hundred ninety-six".