3618144 has 72 divisors (see below), whose sum is σ = 10909080. Its totient is φ = 1133568.

The previous prime is 3618143. The next prime is 3618157. The reversal of 3618144 is 4418163.

3618144 is a `hidden beast` number, since 3 + 618 + 1 + 44 = 666.

3618144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3618143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4527 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 2^3618144 is an apocalyptic number.

3618144 is a gapful number since it is divisible by the number (34) 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 3618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454540).

3618144 is an abundant number, since it is smaller than the sum of its proper divisors (7290936).

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

3618144 is a wasteful number, since it uses less digits than its factorization.

3618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3618144 is about 1902.1419505389. The cubic root of 3618144 is about 153.5189350888.

The spelling of 3618144 in words is "three million, six hundred eighteen thousand, one hundred forty-four".