3822336000 has 768 divisors, whose sum is σ = 16353792000. Its totient is φ = 862617600.

The previous prime is 3822335989. The next prime is 3822336013. The reversal of 3822336000 is 6332283.

3822336000 is a `hidden beast` number, since 3 + 8 + 22 + 33 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3822336000² = 29220504993792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383961 + ... + 48384039.

It is an arithmetic number, because the mean of its divisors is an integer number (21294000).

Almost surely, 2^3822336000 is an apocalyptic number.

3822336000 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 3822336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896000).

3822336000 is an abundant number, since it is smaller than the sum of its proper divisors (12531456000).

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

3822336000 is an equidigital number, since it uses as much as digits as its factorization.

3822336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3822336000 is about 61825.0434694550. The cubic root of 3822336000 is about 1563.5422464943.

Adding to 3822336000 its reverse (6332283), we get a palindrome (3828668283).

The spelling of 3822336000 in words is "three billion, eight hundred twenty-two million, three hundred thirty-six thousand".