36213936 has 80 divisors (see below), whose sum is σ = 103171968. Its totient is φ = 10854400.

The previous prime is 36213929. The next prime is 36213949. The reversal of 36213936 is 63931263.

It is a super-2 number, since 2×36213936² = 2622898321224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 36213897 and 36213906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56176 + ... + 56816.

Almost surely, 2^36213936 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 36213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585984).

36213936 is an abundant number, since it is smaller than the sum of its proper divisors (66958032).

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

36213936 is a wasteful number, since it uses less digits than its factorization.

36213936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 36213936 is about 6017.8015919437. The cubic root of 36213936 is about 330.8455086000.

It can be divided in two parts, 3621 and 3936, that added together give a palindrome (7557).

The spelling of 36213936 in words is "thirty-six million, two hundred thirteen thousand, nine hundred thirty-six".