3621600 has 108 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 963840.

The previous prime is 3621593. The next prime is 3621613. The reversal of 3621600 is 61263.

It is a happy number.

3621600 is a `hidden beast` number, since 3 + 62 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6949 + ... + 7451.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^3621600 is an apocalyptic number.

3621600 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 3621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

3621600 is an abundant number, since it is smaller than the sum of its proper divisors (9174456).

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

3621600 is a wasteful number, since it uses less digits than its factorization.

3621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3621600 is about 1903.0501832584. The cubic root of 3621600 is about 153.5677992395.

Adding to 3621600 its reverse (61263), we get a palindrome (3682863).

The spelling of 3621600 in words is "three million, six hundred twenty-one thousand, six hundred".