3845888000 has 192 divisors, whose sum is σ = 9766280160. Its totient is φ = 1511424000.

The previous prime is 3845887987. The next prime is 3845888009. The reversal of 3845888000 is 8885483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845888009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21247910 + ... + 21248090.

Almost surely, 2^3845888000 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 3845888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883140080).

3845888000 is an abundant number, since it is smaller than the sum of its proper divisors (5920392160).

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

3845888000 is an equidigital number, since it uses as much as digits as its factorization.

3845888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 3845888000 is about 62015.2239373527. The cubic root of 3845888000 is about 1566.7470206761.

The spelling of 3845888000 in words is "three billion, eight hundred forty-five million, eight hundred eighty-eight thousand".