36788544 has 168 divisors, whose sum is σ = 120655080. Its totient is φ = 10653696.

The previous prime is 36788539. The next prime is 36788567. The reversal of 36788544 is 44588763.

36788544 is a `hidden beast` number, since 36 + 78 + 8 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 34574400 = 1488^2 + 5880^2 .

Its product of digits (645120) is a multiple of the sum of its prime divisors (35).

It is a self number, because there is not a number n which added to its sum of digits gives 36788544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164024 + ... + 2164040.

It is an arithmetic number, because the mean of its divisors is an integer number (718185).

Almost surely, 2^36788544 is an apocalyptic number.

36788544 is a gapful number since it is divisible by the number (34) 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 36788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60327540).

36788544 is an abundant number, since it is smaller than the sum of its proper divisors (83866536).

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

36788544 is a wasteful number, since it uses less digits than its factorization.

36788544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 36788544 is about 6065.3560489060. The cubic root of 36788544 is about 332.5861807626.

It can be divided in two parts, 36 and 788544, that multiplied together give a square (28387584 = 5328²).

The spelling of 36788544 in words is "thirty-six million, seven hundred eighty-eight thousand, five hundred forty-four".