36733536 has 216 divisors, whose sum is σ = 128845080. Its totient is φ = 9870336.

The previous prime is 36733531. The next prime is 36733547. The reversal of 36733536 is 63533763.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36733536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36733531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268060 + ... + 268196.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 2^36733536 is an apocalyptic number.

36733536 is a gapful number since it is divisible by the number (36) 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 36733536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64422540).

36733536 is an abundant number, since it is smaller than the sum of its proper divisors (92111544).

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

36733536 is a wasteful number, since it uses less digits than its factorization.

36733536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its digits is 102060, while the sum is 36.

The square root of 36733536 is about 6060.8197465359. The cubic root of 36733536 is about 332.4203317899.

The spelling of 36733536 in words is "thirty-six million, seven hundred thirty-three thousand, five hundred thirty-six".