36338000 has 40 divisors (see below), whose sum is σ = 87870120. Its totient is φ = 14534400.

The previous prime is 36337979. The next prime is 36338011. The reversal of 36338000 is 83363.

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 30558784 = 2404^2 + 5528^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 7085 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (2196753).

Almost surely, 2^36338000 is an apocalyptic number.

It is an amenable number.

36338000 is an abundant number, since it is smaller than the sum of its proper divisors (51532120).

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

36338000 is a wasteful number, since it uses less digits than its factorization.

36338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18192 (or 18176 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 36338000 is about 6028.1008617972. The cubic root of 36338000 is about 331.2228884895. Note that the first 3 decimals are identical.

The spelling of 36338000 in words is "thirty-six million, three hundred thirty-eight thousand".