36489280 has 56 divisors (see below), whose sum is σ = 87828120. Its totient is φ = 14438400.

The previous prime is 36489239. The next prime is 36489287. The reversal of 36489280 is 8298463.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 31719424 = 2184^2 + 5632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (36489287) 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, 31756 + ... + 32884.

Almost surely, 2^36489280 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 36489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43914060).

36489280 is an abundant number, since it is smaller than the sum of its proper divisors (51338840).

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

36489280 is a wasteful number, since it uses less digits than its factorization.

36489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 36489280 is about 6040.6357281333. The cubic root of 36489280 is about 331.6818939781.

The spelling of 36489280 in words is "thirty-six million, four hundred eighty-nine thousand, two hundred eighty".