36783936 has 112 divisors (see below), whose sum is σ = 123626880. Its totient is φ = 10506240.

The previous prime is 36783931. The next prime is 36783973. The reversal of 36783936 is 63938763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36783891 and 36783900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36783931) 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, 10576 + ... + 13616.

Almost surely, 2^36783936 is an apocalyptic number.

36783936 is a gapful number since it is divisible by the number (36) 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 36783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

36783936 is an abundant number, since it is smaller than the sum of its proper divisors (86842944).

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

36783936 is a wasteful number, since it uses less digits than its factorization.

36783936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3053 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 36783936 is about 6064.9761747265. The cubic root of 36783936 is about 332.5722940020.

The spelling of 36783936 in words is "thirty-six million, seven hundred eighty-three thousand, nine hundred thirty-six".