3618800 has 60 divisors (see below), whose sum is σ = 8879640. Its totient is φ = 1416960.

The previous prime is 3618793. The next prime is 3618803. The reversal of 3618800 is 88163.

It is a self number, because there is not a number n which added to its sum of digits gives 3618800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3618803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33146 + ... + 33254.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^3618800 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 3618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439820).

3618800 is an abundant number, since it is smaller than the sum of its proper divisors (5260840).

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

3618800 is a wasteful number, since it uses less digits than its factorization.

3618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3618800 is about 1902.3143799067. The cubic root of 3618800 is about 153.5282126204.

The spelling of 3618800 in words is "three million, six hundred eighteen thousand, eight hundred".