368336736 has 144 divisors (see below), whose sum is σ = 1117247040. Its totient is φ = 114773760.

The previous prime is 368336723. The next prime is 368336741. The reversal of 368336736 is 637633863.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 368336691 and 368336700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453771 + ... + 454581.

It is an arithmetic number, because the mean of its divisors is an integer number (7758660).

Almost surely, 2^368336736 is an apocalyptic number.

368336736 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 368336736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558623520).

368336736 is an abundant number, since it is smaller than the sum of its proper divisors (748910304).

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

368336736 is a wasteful number, since it uses less digits than its factorization.

368336736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 918 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 368336736 is about 19192.1008750996. The cubic root of 368336736 is about 716.8280838739.

The spelling of 368336736 in words is "three hundred sixty-eight million, three hundred thirty-six thousand, seven hundred thirty-six".