3822800 has 60 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1445760.

The previous prime is 3822779. The next prime is 3822811. The reversal of 3822800 is 82283.

3822800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3822800² = 29227599680000, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

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, 7349 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^3822800 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 3822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3822800 is an abundant number, since it is smaller than the sum of its proper divisors (5864080).

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

3822800 is a wasteful number, since it uses less digits than its factorization.

3822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

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

The square root of 3822800 is about 1955.1981996718. The cubic root of 3822800 is about 156.3605510970.

The spelling of 3822800 in words is "three million, eight hundred twenty-two thousand, eight hundred".