36984180 has 96 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 9164800.

The previous prime is 36984169. The next prime is 36984221. The reversal of 36984180 is 8148963.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102841 + ... + 103199.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^36984180 is an apocalyptic number.

36984180 is a gapful number since it is divisible by the number (30) 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 36984180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

36984180 is an abundant number, since it is smaller than the sum of its proper divisors (74057100).

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

36984180 is a wasteful number, since it uses less digits than its factorization.

36984180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 36984180 is about 6081.4619952771. The cubic root of 36984180 is about 333.1746867280.

The spelling of 36984180 in words is "thirty-six million, nine hundred eighty-four thousand, one hundred eighty".