36241664 has 36 divisors (see below), whose sum is σ = 76159440. Its totient is φ = 17164800.

The previous prime is 36241651. The next prime is 36241669. The reversal of 36241664 is 46614263.

It is a super-3 number, since 3×36241664³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36241664.

It is not an unprimeable number, because it can be changed into a prime (36241669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1139 + ... + 8589.

It is an arithmetic number, because the mean of its divisors is an integer number (2115540).

Almost surely, 2^36241664 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 36241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38079720).

36241664 is an abundant number, since it is smaller than the sum of its proper divisors (39917776).

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

36241664 is an equidigital number, since it uses as much as digits as its factorization.

36241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7472 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 36241664 is about 6020.1049824733. The cubic root of 36241664 is about 330.9299267819.

The spelling of 36241664 in words is "thirty-six million, two hundred forty-one thousand, six hundred sixty-four".