3822832000 has 128 divisors (see below), whose sum is σ = 10236189600. Its totient is φ = 1411430400.

The previous prime is 3822831949. The next prime is 3822832009. The reversal of 3822832000 is 2382283.

3822832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3822832000² = 29228089000448000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3822832000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822832009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198811 + ... + 217189.

Almost surely, 2^3822832000 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 3822832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118094800).

3822832000 is an abundant number, since it is smaller than the sum of its proper divisors (6413357600).

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

3822832000 is a wasteful number, since it uses less digits than its factorization.

3822832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18421 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3822832000 is about 61829.0546587929. The cubic root of 3822832000 is about 1563.6098738486.

It can be divided in two parts, 382 and 2832000, that added together give a palindrome (2832382).

The spelling of 3822832000 in words is "three billion, eight hundred twenty-two million, eight hundred thirty-two thousand".