36283680 has 192 divisors, whose sum is σ = 130999680. Its totient is φ = 9372672.

The previous prime is 36283679. The next prime is 36283691. The reversal of 36283680 is 8638263.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159727 + ... + 159953.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 2^36283680 is an apocalyptic number.

36283680 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 36283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

36283680 is an abundant number, since it is smaller than the sum of its proper divisors (94716000).

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

36283680 is a wasteful number, since it uses less digits than its factorization.

36283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36283680 is about 6023.5936117902. The cubic root of 36283680 is about 331.0577629102.

It can be divided in two parts, 36283 and 680, that added together give a palindrome (36963).

The spelling of 36283680 in words is "thirty-six million, two hundred eighty-three thousand, six hundred eighty".