36894312 has 128 divisors (see below), whose sum is σ = 126201600. Its totient is φ = 9725184.

The previous prime is 36894311. The next prime is 36894317. The reversal of 36894312 is 21349863.

36894312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36894312² = 2722380515906688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (36894311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18718 + ... + 20594.

It is an arithmetic number, because the mean of its divisors is an integer number (985950).

Almost surely, 2^36894312 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 36894312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63100800).

36894312 is an abundant number, since it is smaller than the sum of its proper divisors (89307288).

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

36894312 is a wasteful number, since it uses less digits than its factorization.

36894312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36894312 is about 6074.0688175226. The cubic root of 36894312 is about 332.9046070399.

It can be divided in two parts, 3689 and 4312, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 36894312 in words is "thirty-six million, eight hundred ninety-four thousand, three hundred twelve".