36786512 has 40 divisors (see below), whose sum is σ = 83452992. Its totient is φ = 15379200.

The previous prime is 36786509. The next prime is 36786517. The reversal of 36786512 is 21568763.

It is a super-3 number, since 3×36786512³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36786517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587 + ... + 8597.

Almost surely, 2^36786512 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 36786512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726496).

36786512 is an abundant number, since it is smaller than the sum of its proper divisors (46666480).

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

36786512 is a wasteful number, since it uses less digits than its factorization.

36786512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8061 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 36786512 is about 6065.1885378775. The cubic root of 36786512 is about 332.5800572298.

The spelling of 36786512 in words is "thirty-six million, seven hundred eighty-six thousand, five hundred twelve".