36880320 has 112 divisors (see below), whose sum is σ = 120079008. Its totient is φ = 9584640.

The previous prime is 36880309. The next prime is 36880321. The reversal of 36880320 is 2308863.

36880320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36880321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38892 + ... + 39828.

It is an arithmetic number, because the mean of its divisors is an integer number (1072134).

Almost surely, 2^36880320 is an apocalyptic number.

36880320 is a gapful number since it is divisible by the number (30) 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 36880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60039504).

36880320 is an abundant number, since it is smaller than the sum of its proper divisors (83198688).

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

36880320 is a wasteful number, since it uses less digits than its factorization.

36880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36880320 is about 6072.9169268153. The cubic root of 36880320 is about 332.8625175328.

The spelling of 36880320 in words is "thirty-six million, eight hundred eighty thousand, three hundred twenty".