3822144 has 56 divisors (see below), whose sum is σ = 10716768. Its totient is φ = 1198080.

The previous prime is 3822139. The next prime is 3822157. The reversal of 3822144 is 4412283.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 3849.

Almost surely, 2^3822144 is an apocalyptic number.

3822144 is a gapful number since it is divisible by the number (34) 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 3822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358384).

3822144 is an abundant number, since it is smaller than the sum of its proper divisors (6894624).

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

3822144 is a wasteful number, since it uses less digits than its factorization.

3822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3822144 is about 1955.0304345457. The cubic root of 3822144 is about 156.3516066593.

The spelling of 3822144 in words is "three million, eight hundred twenty-two thousand, one hundred forty-four".