3842208000 has 288 divisors, whose sum is σ = 14183070720. Its totient is φ = 1024358400.

The previous prime is 3842207981. The next prime is 3842208043. The reversal of 3842208000 is 8022483.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861777 + ... + 866223.

Almost surely, 2^3842208000 is an apocalyptic number.

3842208000 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 3842208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091535360).

3842208000 is an abundant number, since it is smaller than the sum of its proper divisors (10340862720).

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

3842208000 is an equidigital number, since it uses as much as digits as its factorization.

3842208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3842208000 is about 61985.5467024370. The cubic root of 3842208000 is about 1566.2471388116.

The spelling of 3842208000 in words is "three billion, eight hundred forty-two million, two hundred eight thousand".