36985312 has 72 divisors (see below), whose sum is σ = 90202896. Its totient is φ = 14616576.

The previous prime is 36985309. The next prime is 36985313. The reversal of 36985312 is 21358963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36985313) 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 11 ways as a sum of consecutive naturals, for example, 37368 + ... + 38344.

It is an arithmetic number, because the mean of its divisors is an integer number (1252818).

Almost surely, 2^36985312 is an apocalyptic number.

36985312 is a gapful number since it is divisible by the number (32) 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 36985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45101448).

36985312 is an abundant number, since it is smaller than the sum of its proper divisors (53217584).

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

36985312 is a wasteful number, since it uses less digits than its factorization.

36985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 999 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 36985312 is about 6081.5550642907. Note that the first 3 decimals coincide. The cubic root of 36985312 is about 333.1780859282.

The spelling of 36985312 in words is "thirty-six million, nine hundred eighty-five thousand, three hundred twelve".