36667368 has 96 divisors (see below), whose sum is σ = 108880200. Its totient is φ = 11096064.

The previous prime is 36667331. The next prime is 36667391. The reversal of 36667368 is 86376663.

It can be written as a sum of positive squares in 4 ways, for example, as 36505764 + 161604 = 6042^2 + 402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34980 + ... + 36012.

Almost surely, 2^36667368 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 36667368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54440100).

36667368 is an abundant number, since it is smaller than the sum of its proper divisors (72212832).

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

36667368 is a wasteful number, since it uses less digits than its factorization.

36667368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 36667368 is about 6055.3586186121. The cubic root of 36667368 is about 332.2206159353.

The spelling of 36667368 in words is "thirty-six million, six hundred sixty-seven thousand, three hundred sixty-eight".