3681600 has 168 divisors, whose sum is σ = 13228320. Its totient is φ = 890880.

The previous prime is 3681599. The next prime is 3681619. The reversal of 3681600 is 61863.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62371 + ... + 62429.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

Almost surely, 2^3681600 is an apocalyptic number.

3681600 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 3681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614160).

3681600 is an abundant number, since it is smaller than the sum of its proper divisors (9546720).

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

3681600 is a wasteful number, since it uses less digits than its factorization.

3681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3681600 is about 1918.7495928338. The cubic root of 3681600 is about 154.4112245413.

The spelling of 3681600 in words is "three million, six hundred eighty-one thousand, six hundred".