3822940800 has 960 divisors, whose sum is σ = 16834488000. Its totient is φ = 853493760.

The previous prime is 3822940777. The next prime is 3822940859. The reversal of 3822940800 is 80492283.

3822940800 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 (960).

It is a super-2 number, since 2×3822940800² = 29229752720609280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905579 + ... + 88905621.

It is an arithmetic number, because the mean of its divisors is an integer number (17535925).

Almost surely, 2^3822940800 is an apocalyptic number.

3822940800 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 3822940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417244000).

3822940800 is an abundant number, since it is smaller than the sum of its proper divisors (13011547200).

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

3822940800 is an equidigital number, since it uses as much as digits as its factorization.

3822940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3822940800 is about 61829.9344977819. The cubic root of 3822940800 is about 1563.6247074536.

The spelling of 3822940800 in words is "three billion, eight hundred twenty-two million, nine hundred forty thousand, eight hundred".