36380736 has 126 divisors (see below), whose sum is σ = 121398030. Its totient is φ = 10386432.

The previous prime is 36380719. The next prime is 36380741. The reversal of 36380736 is 63708363.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 1806336 = 5880^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36380736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27580 + ... + 28868.

Almost surely, 2^36380736 is an apocalyptic number.

36380736 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 36380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60699015).

36380736 is an abundant number, since it is smaller than the sum of its proper divisors (85017294).

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

36380736 is a wasteful number, since it uses less digits than its factorization.

36380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36380736 is about 6031.6445518615. The cubic root of 36380736 is about 331.3526846244.

The spelling of 36380736 in words is "thirty-six million, three hundred eighty thousand, seven hundred thirty-six".