3822930800 has 240 divisors, whose sum is σ = 10374648480. Its totient is φ = 1344000000.

The previous prime is 3822930773. The next prime is 3822930803. The reversal of 3822930800 is 80392283.

It is a super-2 number, since 2×3822930800² = 29229599803177280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822930803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15230675 + ... + 15230925.

It is an arithmetic number, because the mean of its divisors is an integer number (43227702).

Almost surely, 2^3822930800 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 3822930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187324240).

3822930800 is an abundant number, since it is smaller than the sum of its proper divisors (6551717680).

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

3822930800 is a wasteful number, since it uses less digits than its factorization.

3822930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3822930800 is about 61829.8536307503. The cubic root of 3822930800 is about 1563.6233440826.

The spelling of 3822930800 in words is "three billion, eight hundred twenty-two million, nine hundred thirty thousand, eight hundred".