36881320 has 96 divisors (see below), whose sum is σ = 99809280. Its totient is φ = 12216960.

The previous prime is 36881291. The next prime is 36881321. The reversal of 36881320 is 2318863.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (36881321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60457 + ... + 61063.

It is an arithmetic number, because the mean of its divisors is an integer number (1039680).

Almost surely, 2^36881320 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 36881320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904640).

36881320 is an abundant number, since it is smaller than the sum of its proper divisors (62927960).

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

36881320 is a wasteful number, since it uses less digits than its factorization.

36881320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 36881320 is about 6072.9992590153. Note that the first 3 decimals coincide. The cubic root of 36881320 is about 332.8655259982.

The spelling of 36881320 in words is "thirty-six million, eight hundred eighty-one thousand, three hundred twenty".