36037800 has 72 divisors (see below), whose sum is σ = 121032990. Its totient is φ = 9609600.

The previous prime is 36037789. The next prime is 36037817. The reversal of 36037800 is 873063.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16695396 + 19342404 = 4086^2 + 4398^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 17 ways as a sum of consecutive naturals, for example, 8211 + ... + 11810.

Almost surely, 2^36037800 is an apocalyptic number.

36037800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36037800 is an abundant number, since it is smaller than the sum of its proper divisors (84995190).

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

36037800 is a wasteful number, since it uses less digits than its factorization.

36037800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20043 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36037800 is about 6003.1491735588. The cubic root of 36037800 is about 330.3082519181.

The spelling of 36037800 in words is "thirty-six million, thirty-seven thousand, eight hundred".