3822001200 has 480 divisors, whose sum is σ = 14638259520. Its totient is φ = 955514880.

The previous prime is 3822001199. The next prime is 3822001219. The reversal of 3822001200 is 21002283.

It is a happy number.

3822001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14871472 + ... + 14871728.

It is an arithmetic number, because the mean of its divisors is an integer number (30496374).

Almost surely, 2^3822001200 is an apocalyptic number.

3822001200 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 3822001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319129760).

3822001200 is an abundant number, since it is smaller than the sum of its proper divisors (10816258320).

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

3822001200 is a wasteful number, since it uses less digits than its factorization.

3822001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3822001200 is about 61822.3357695259. The cubic root of 3822001200 is about 1563.4965947229.

Adding to 3822001200 its reverse (21002283), we get a palindrome (3843003483).

The spelling of 3822001200 in words is "three billion, eight hundred twenty-two million, one thousand, two hundred".