36802000 has 40 divisors (see below), whose sum is σ = 88992072. Its totient is φ = 14720000.

The previous prime is 36801979. The next prime is 36802009. The reversal of 36802000 is 20863.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 34762816 = 1428^2 + 5896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36802009) 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 7 ways as a sum of consecutive naturals, for example, 7201 + ... + 11200.

Almost surely, 2^36802000 is an apocalyptic number.

It is an amenable number.

36802000 is an abundant number, since it is smaller than the sum of its proper divisors (52190072).

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

36802000 is a wasteful number, since it uses less digits than its factorization.

36802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36802000 is about 6066.4651981199. The cubic root of 36802000 is about 332.6267253963.

Adding to 36802000 its reverse (20863), we get a palindrome (36822863).

The spelling of 36802000 in words is "thirty-six million, eight hundred two thousand".