36482736 has 80 divisors (see below), whose sum is σ = 100390400. Its totient is φ = 11384064.

The previous prime is 36482729. The next prime is 36482737. The reversal of 36482736 is 63728463.

It is a junction number, because it is equal to n+sod(n) for n = 36482694 and 36482703.

It is not an unprimeable number, because it can be changed into a prime (36482737) 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, 99225 + ... + 99591.

It is an arithmetic number, because the mean of its divisors is an integer number (1254880).

Almost surely, 2^36482736 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 36482736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50195200).

36482736 is an abundant number, since it is smaller than the sum of its proper divisors (63907664).

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

36482736 is a wasteful number, since it uses less digits than its factorization.

36482736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 36482736 is about 6040.0940390030. The cubic root of 36482736 is about 331.6620648111.

The spelling of 36482736 in words is "thirty-six million, four hundred eighty-two thousand, seven hundred thirty-six".