36409168 has 40 divisors (see below), whose sum is σ = 74722400. Its totient is φ = 17138304.

The previous prime is 36409151. The next prime is 36409169. The reversal of 36409168 is 86190463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36409169) 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, 69355 + ... + 69877.

It is an arithmetic number, because the mean of its divisors is an integer number (1868060).

Almost surely, 2^36409168 is an apocalyptic number.

36409168 is a gapful number since it is divisible by the number (38) 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 36409168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361200).

36409168 is an abundant number, since it is smaller than the sum of its proper divisors (38313232).

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

36409168 is a wasteful number, since it uses less digits than its factorization.

36409168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 36409168 is about 6034.0009943652. Note that the first 3 decimals coincide. The cubic root of 36409168 is about 331.4389809029.

The spelling of 36409168 in words is "thirty-six million, four hundred nine thousand, one hundred sixty-eight".