368084736 has 216 divisors, whose sum is σ = 1130160304. Its totient is φ = 119439360.

The previous prime is 368084729. The next prime is 368084737. The reversal of 368084736 is 637480863.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 368084691 and 368084700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368084737) 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 23 ways as a sum of consecutive naturals, for example, 3794640 + ... + 3794736.

Almost surely, 2^368084736 is an apocalyptic number.

368084736 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 368084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565080152).

368084736 is an abundant number, since it is smaller than the sum of its proper divisors (762075568).

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

368084736 is an frugal number, since it uses more digits than its factorization.

368084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 368084736 is about 19185.5345508015. The cubic root of 368084736 is about 716.6645723633.

The spelling of 368084736 in words is "three hundred sixty-eight million, eighty-four thousand, seven hundred thirty-six".