36288006 has 16 divisors (see below), whose sum is σ = 72635184. Its totient is φ = 12086144.

The previous prime is 36287989. The next prime is 36288017. The reversal of 36288006 is 60088263.

It is a super-3 number, since 3×36288006³ (a number of 24 digits) contains 333 as substring.

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, 12466 + ... + 15098.

It is an arithmetic number, because the mean of its divisors is an integer number (4539699).

Almost surely, 2^36288006 is an apocalyptic number.

36288006 is an abundant number, since it is smaller than the sum of its proper divisors (36347178).

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

36288006 is a wasteful number, since it uses less digits than its factorization.

36288006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 36288006 is about 6023.9526890572. The cubic root of 36288006 is about 331.0709194126.

The spelling of 36288006 in words is "thirty-six million, two hundred eighty-eight thousand, six".