36002016 has 48 divisors (see below), whose sum is σ = 105008400. Its totient is φ = 12000384.

The previous prime is 36002011. The next prime is 36002023. The reversal of 36002016 is 61020063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×36002016² = 2592290312128512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36002011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19971 + ... + 21698.

It is an arithmetic number, because the mean of its divisors is an integer number (2187675).

Almost surely, 2^36002016 is an apocalyptic number.

36002016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36002016 is an abundant number, since it is smaller than the sum of its proper divisors (69006384).

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

36002016 is a wasteful number, since it uses less digits than its factorization.

36002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41688 (or 41674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36002016 is about 6000.1679976481. The cubic root of 36002016 is about 330.1988883719.

Adding to 36002016 its reverse (61020063), we get a palindrome (97022079).

The spelling of 36002016 in words is "thirty-six million, two thousand, sixteen".