36364032 has 72 divisors (see below), whose sum is σ = 107555280. Its totient is φ = 12119040.

The previous prime is 36363997. The next prime is 36364067. The reversal of 36364032 is 23046363.

It is an interprime number because it is at equal distance from previous prime (36363997) and next prime (36364067).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36363987 and 36364005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4282 + ... + 9542.

Almost surely, 2^36364032 is an apocalyptic number.

36364032 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 36364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53777640).

36364032 is an abundant number, since it is smaller than the sum of its proper divisors (71191248).

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

36364032 is an equidigital number, since it uses as much as digits as its factorization.

36364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36364032 is about 6030.2596959003. The cubic root of 36364032 is about 331.3019639850.

The spelling of 36364032 in words is "thirty-six million, three hundred sixty-four thousand, thirty-two".