3681000 has 96 divisors (see below), whose sum is σ = 12472200. Its totient is φ = 979200.

The previous prime is 3680987. The next prime is 3681001. The reversal of 3681000 is 1863.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 1726596 = 1398^2 + 1314^2 .

It is a super-2 number, since 2×3681000² = 27099522000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3681001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796 + ... + 9204.

Almost surely, 2^3681000 is an apocalyptic number.

3681000 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 3681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236100).

3681000 is an abundant number, since it is smaller than the sum of its proper divisors (8791200).

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

3681000 is a wasteful number, since it uses less digits than its factorization.

3681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

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

The square root of 3681000 is about 1918.5932346383. The cubic root of 3681000 is about 154.4028358182.

Adding to 3681000 its reverse (1863), we get a palindrome (3682863).

The spelling of 3681000 in words is "three million, six hundred eighty-one thousand".