36223680 has 112 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 9535488.

The previous prime is 36223661. The next prime is 36223729. The reversal of 36223680 is 8632263.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92926 + ... + 93314.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^36223680 is an apocalyptic number.

36223680 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 36223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

36223680 is an abundant number, since it is smaller than the sum of its proper divisors (80270880).

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

36223680 is a wasteful number, since it uses less digits than its factorization.

36223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36223680 is about 6018.6111354697. The cubic root of 36223680 is about 330.8751792176.

It can be divided in two parts, 362 and 23680, that added together give a palindrome (24042).

The spelling of 36223680 in words is "thirty-six million, two hundred twenty-three thousand, six hundred eighty".