3782820 has 48 divisors (see below), whose sum is σ = 10761408. Its totient is φ = 992640.

The previous prime is 3782819. The next prime is 3782869. The reversal of 3782820 is 282873.

3782820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550 + ... + 4490.

It is an arithmetic number, because the mean of its divisors is an integer number (224196).

Almost surely, 2^3782820 is an apocalyptic number.

3782820 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 3782820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380704).

3782820 is an abundant number, since it is smaller than the sum of its proper divisors (6978588).

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

3782820 is a wasteful number, since it uses less digits than its factorization.

3782820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3782820 is about 1944.9473000573. The cubic root of 3782820 is about 155.8135510808.

The spelling of 3782820 in words is "three million, seven hundred eighty-two thousand, eight hundred twenty".