3822122304 has 504 divisors, whose sum is σ = 14987857248. Its totient is φ = 915425280.

The previous prime is 3822122287. The next prime is 3822122321. The reversal of 3822122304 is 4032212283.

It is an interprime number because it is at equal distance from previous prime (3822122287) and next prime (3822122321).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035559 + ... + 4036505.

It is an arithmetic number, because the mean of its divisors is an integer number (29737812).

Almost surely, 2^3822122304 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 3822122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493928624).

3822122304 is an abundant number, since it is smaller than the sum of its proper divisors (11165734944).

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

3822122304 is a wasteful number, since it uses less digits than its factorization.

3822122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3822122304 is about 61823.3152135988. The cubic root of 3822122304 is about 1563.5131082090.

Adding to 3822122304 its reverse (4032212283), we get a palindrome (7854334587).

The spelling of 3822122304 in words is "three billion, eight hundred twenty-two million, one hundred twenty-two thousand, three hundred four".