36483280 has 80 divisors (see below), whose sum is σ = 89708544. Its totient is φ = 13777920.

The previous prime is 36483269. The next prime is 36483289. The reversal of 36483280 is 8238463.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36483289) 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, 116404 + ... + 116716.

Almost surely, 2^36483280 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 36483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854272).

36483280 is an abundant number, since it is smaller than the sum of its proper divisors (53225264).

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

36483280 is a wasteful number, since it uses less digits than its factorization.

36483280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 36483280 is about 6040.1390712466. The cubic root of 36483280 is about 331.6637132918.

It can be divided in two parts, 36483 and 280, that added together give a palindrome (36763).

The spelling of 36483280 in words is "thirty-six million, four hundred eighty-three thousand, two hundred eighty".