3820608000 has 800 divisors, whose sum is σ = 15757080768. Its totient is φ = 912384000.

The previous prime is 3820607977. The next prime is 3820608013. The reversal of 3820608000 is 8060283.

3820608000 is a `hidden beast` number, since 38 + 20 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023967 + ... + 57024033.

Almost surely, 2^3820608000 is an apocalyptic number.

3820608000 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 3820608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878540384).

3820608000 is an abundant number, since it is smaller than the sum of its proper divisors (11936472768).

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

3820608000 is an equidigital number, since it uses as much as digits as its factorization.

3820608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3820608000 is about 61811.0669702441. The cubic root of 3820608000 is about 1563.3065958131.

Adding to 3820608000 its reverse (8060283), we get a palindrome (3828668283).

The spelling of 3820608000 in words is "three billion, eight hundred twenty million, six hundred eight thousand".