36313368 has 96 divisors (see below), whose sum is σ = 112435200. Its totient is φ = 9569664.

The previous prime is 36313367. The next prime is 36313373. The reversal of 36313368 is 86331363.

It is a super-3 number, since 3×36313368³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36313363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27753 + ... + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (1171200).

Almost surely, 2^36313368 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 36313368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56217600).

36313368 is an abundant number, since it is smaller than the sum of its proper divisors (76121832).

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

36313368 is a wasteful number, since it uses less digits than its factorization.

36313368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1304 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 36313368 is about 6026.0574175824. The cubic root of 36313368 is about 331.1480308900.

It can be divided in two parts, 363 and 13368, that multiplied together give a palindrome (4852584).

The spelling of 36313368 in words is "thirty-six million, three hundred thirteen thousand, three hundred sixty-eight".