3681800 has 48 divisors (see below), whose sum is σ = 8788500. Its totient is φ = 1433600.

The previous prime is 3681793. The next prime is 3681823. The reversal of 3681800 is 81863.

It can be written as a sum of positive squares in 6 ways, for example, as 605284 + 3076516 = 778^2 + 1754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3681800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7976 + ... + 8424.

Almost surely, 2^3681800 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 3681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394250).

3681800 is an abundant number, since it is smaller than the sum of its proper divisors (5106700).

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

3681800 is a wasteful number, since it uses less digits than its factorization.

3681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

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

The square root of 3681800 is about 1918.8017094009. The cubic root of 3681800 is about 154.4140205797.

The spelling of 3681800 in words is "three million, six hundred eighty-one thousand, eight hundred".