36809472 has 144 divisors (see below), whose sum is σ = 115379712. Its totient is φ = 10199040.

The previous prime is 36809429. The next prime is 36809473. The reversal of 36809472 is 27490863.

It is a self number, because there is not a number n which added to its sum of digits gives 36809472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36809473) 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, 220333 + ... + 220499.

It is an arithmetic number, because the mean of its divisors is an integer number (801248).

Almost surely, 2^36809472 is an apocalyptic number.

36809472 is a gapful number since it is divisible by the number (32) 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 36809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689856).

36809472 is an abundant number, since it is smaller than the sum of its proper divisors (78570240).

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

36809472 is a wasteful number, since it uses less digits than its factorization.

36809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 36809472 is about 6067.0810114914. The cubic root of 36809472 is about 332.6492352120.

The spelling of 36809472 in words is "thirty-six million, eight hundred nine thousand, four hundred seventy-two".