36983296 has 80 divisors (see below), whose sum is σ = 89565696. Its totient is φ = 14893056.

The previous prime is 36983281. The next prime is 36983299. The reversal of 36983296 is 69238963.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36983299) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60625 + ... + 61231.

Almost surely, 2^36983296 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 36983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782848).

36983296 is an abundant number, since it is smaller than the sum of its proper divisors (52582400).

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

36983296 is an equidigital number, since it uses as much as digits as its factorization.

36983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The square root of 36983296 is about 6081.3893149510. The cubic root of 36983296 is about 333.1720321806.

The spelling of 36983296 in words is "thirty-six million, nine hundred eighty-three thousand, two hundred ninety-six".