3822080 has 40 divisors (see below), whose sum is σ = 9170172. Its totient is φ = 1527808.

The previous prime is 3822073. The next prime is 3822103. The reversal of 3822080 is 802283.

3822080 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 73984 = 1936^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1814 + ... + 3306.

Almost surely, 2^3822080 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 3822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585086).

3822080 is an abundant number, since it is smaller than the sum of its proper divisors (5348092).

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

3822080 is an equidigital number, since it uses as much as digits as its factorization.

3822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3822080 is about 1955.0140664456. The cubic root of 3822080 is about 156.3507339764.

The spelling of 3822080 in words is "three million, eight hundred twenty-two thousand, eighty".