3782800 has 90 divisors (see below), whose sum is σ = 10626738. Its totient is φ = 1290240.

The previous prime is 3782773. The next prime is 3782803. The reversal of 3782800 is 82873.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 3732624 = 224^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3782803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19504 + ... + 19696.

Almost surely, 2^3782800 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 3782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313369).

3782800 is an abundant number, since it is smaller than the sum of its proper divisors (6843938).

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

3782800 is a wasteful number, since it uses less digits than its factorization.

3782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3782800 is about 1944.9421585230. The cubic root of 3782800 is about 155.8132764817.

The spelling of 3782800 in words is "three million, seven hundred eighty-two thousand, eight hundred".