36796500 has 288 divisors, whose sum is σ = 135940896. Its totient is φ = 8294400.

The previous prime is 36796451. The next prime is 36796511. The reversal of 36796500 is 569763.

It is a happy number.

36796500 is a `hidden beast` number, since 3 + 67 + 96 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19607184 + 17189316 = 4428^2 + 4146^2 .

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 994482 + ... + 994518.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 2^36796500 is an apocalyptic number.

36796500 is a gapful number since it is divisible by the number (30) 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 36796500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

36796500 is an abundant number, since it is smaller than the sum of its proper divisors (99144396).

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

36796500 is a wasteful number, since it uses less digits than its factorization.

36796500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 36796500 is about 6066.0118694246. The cubic root of 36796500 is about 332.6101543935.

The spelling of 36796500 in words is "thirty-six million, seven hundred ninety-six thousand, five hundred".