36808320 has 128 divisors (see below), whose sum is σ = 123624000. Its totient is φ = 9289728.

The previous prime is 36808309. The next prime is 36808327. The reversal of 36808320 is 2380863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (36808327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35976 + ... + 36984.

Almost surely, 2^36808320 is an apocalyptic number.

36808320 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 36808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61812000).

36808320 is an abundant number, since it is smaller than the sum of its proper divisors (86815680).

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

36808320 is a wasteful number, since it uses less digits than its factorization.

36808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

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

The square root of 36808320 is about 6066.9860721778. The cubic root of 36808320 is about 332.6457649465.

It can be divided in two parts, 36808 and 320, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36808320 in words is "thirty-six million, eight hundred eight thousand, three hundred twenty".