36003006 has 48 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 10865088.

The previous prime is 36002971. The next prime is 36003013. The reversal of 36003006 is 60030063.

36003006 is a `hidden beast` number, since 360 + 0 + 300 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36003006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10951 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782).

Almost surely, 2^36003006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36003006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

36003006 is an abundant number, since it is smaller than the sum of its proper divisors (49618530).

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

36003006 is a wasteful number, since it uses less digits than its factorization.

36003006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36003006 is about 6000.2504947710. The cubic root of 36003006 is about 330.2019149979.

Adding to 36003006 its reverse (60030063), we get a palindrome (96033069).

The spelling of 36003006 in words is "thirty-six million, three thousand, six".