36002000 has 80 divisors (see below), whose sum is σ = 89137152. Its totient is φ = 14057600.

The previous prime is 36001993. The next prime is 36002009. The reversal of 36002000 is 20063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36002000² = 2592288008000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36002009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93809 + ... + 94191.

Almost surely, 2^36002000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44568576).

36002000 is an abundant number, since it is smaller than the sum of its proper divisors (53135152).

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

36002000 is a wasteful number, since it uses less digits than its factorization.

36002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 36002000 is about 6000.1666643519. The cubic root of 36002000 is about 330.1988394563.

Adding to 36002000 its reverse (20063), we get a palindrome (36022063).

The spelling of 36002000 in words is "thirty-six million, two thousand", and thus it is an eban number.