3618000 has 160 divisors (see below), whose sum is σ = 13153920. Its totient is φ = 950400.

The previous prime is 3617993. The next prime is 3618007. The reversal of 3618000 is 8163.

3618000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3617993) and next prime (3618007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3618007) 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 31 ways as a sum of consecutive naturals, for example, 53967 + ... + 54033.

It is an arithmetic number, because the mean of its divisors is an integer number (82212).

Almost surely, 2^3618000 is an apocalyptic number.

3618000 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 3618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576960).

3618000 is an abundant number, since it is smaller than the sum of its proper divisors (9535920).

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

3618000 is a wasteful number, since it uses less digits than its factorization.

3618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3618000 is about 1902.1040980977. The cubic root of 3618000 is about 153.5168984074.

The spelling of 3618000 in words is "three million, six hundred eighteen thousand".