3621800 has 96 divisors (see below), whose sum is σ = 10416000. Its totient is φ = 1140480.

The previous prime is 3621797. The next prime is 3621803. The reversal of 3621800 is 81263.

3621800 is nontrivially palindromic in base 3.

3621800 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 (3621797) and next prime (3621803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3621803) 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 23 ways as a sum of consecutive naturals, for example, 18101 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (108500).

Almost surely, 2^3621800 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 3621800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208000).

3621800 is an abundant number, since it is smaller than the sum of its proper divisors (6794200).

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

3621800 is a wasteful number, since it uses less digits than its factorization.

3621800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3621800 is about 1903.1027297548. The cubic root of 3621800 is about 153.5706260743.

The spelling of 3621800 in words is "three million, six hundred twenty-one thousand, eight hundred".