36681984 has 180 divisors, whose sum is σ = 115005660. Its totient is φ = 11612160.

The previous prime is 36681929. The next prime is 36682001. The reversal of 36681984 is 48918663.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 28387584 = 2880^2 + 5328^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 601314 + ... + 601374.

Almost surely, 2^36681984 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 36681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57502830).

36681984 is an abundant number, since it is smaller than the sum of its proper divisors (78323676).

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

36681984 is an equidigital number, since it uses as much as digits as its factorization.

36681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 36681984 is about 6056.5653633062. The cubic root of 36681984 is about 332.2647522864.

The spelling of 36681984 in words is "thirty-six million, six hundred eighty-one thousand, nine hundred eighty-four".