36180284 has 48 divisors (see below), whose sum is σ = 79289280. Its totient is φ = 14085120.

The previous prime is 36180283. The next prime is 36180293. The reversal of 36180284 is 48208163.

It is a self number, because there is not a number n which added to its sum of digits gives 36180284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36180283) 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, 12494 + ... + 15114.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 2^36180284 is an apocalyptic number.

36180284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36180284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39644640).

36180284 is an abundant number, since it is smaller than the sum of its proper divisors (43108996).

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

36180284 is a wasteful number, since it uses less digits than its factorization.

36180284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 36180284 is about 6015.0049044037. The cubic root of 36180284 is about 330.7429968350.

The spelling of 36180284 in words is "thirty-six million, one hundred eighty thousand, two hundred eighty-four".