3678800 has 60 divisors (see below), whose sum is σ = 9375516. Its totient is φ = 1382400.

The previous prime is 3678797. The next prime is 3678803. The reversal of 3678800 is 88763.

It is an interprime number because it is at equal distance from previous prime (3678797) and next prime (3678803).

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 3671056 = 88^2 + 1916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6530 + ... + 7070.

Almost surely, 2^3678800 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 3678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687758).

3678800 is an abundant number, since it is smaller than the sum of its proper divisors (5696716).

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

3678800 is a wasteful number, since it uses less digits than its factorization.

3678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3678800 is about 1918.0198122022. The cubic root of 3678800 is about 154.3720693658.

The spelling of 3678800 in words is "three million, six hundred seventy-eight thousand, eight hundred".