3822796800 has 540 divisors, whose sum is σ = 14736892716. Its totient is φ = 943718400.

The previous prime is 3822796799. The next prime is 3822796801. The reversal of 3822796800 is 86972283.

It is an interprime number because it is at equal distance from previous prime (3822796799) and next prime (3822796801).

It can be written as a sum of positive squares in 6 ways, for example, as 325730304 + 3497066496 = 18048^2 + 59136^2 .

It is a super-2 number, since 2×3822796800² = 29227550748180480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822796801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62668770 + ... + 62668830.

Almost surely, 2^3822796800 is an apocalyptic number.

3822796800 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 3822796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368446358).

3822796800 is an abundant number, since it is smaller than the sum of its proper divisors (10914095916).

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

3822796800 is a wasteful number, since it uses less digits than its factorization.

3822796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3822796800 is about 61828.7700023217. The cubic root of 3822796800 is about 1563.6050746808.

The spelling of 3822796800 in words is "three billion, eight hundred twenty-two million, seven hundred ninety-six thousand, eight hundred".