36348416 has 80 divisors (see below), whose sum is σ = 80661504. Its totient is φ = 16257024.

The previous prime is 36348413. The next prime is 36348421. The reversal of 36348416 is 61484363.

36348416 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (36348413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286145 + ... + 286271.

Almost surely, 2^36348416 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 36348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40330752).

36348416 is an abundant number, since it is smaller than the sum of its proper divisors (44313088).

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

36348416 is a wasteful number, since it uses less digits than its factorization.

36348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 36348416 is about 6028.9647535875. The cubic root of 36348416 is about 331.2545329390.

The spelling of 36348416 in words is "thirty-six million, three hundred forty-eight thousand, four hundred sixteen".