3888144000 has 768 divisors, whose sum is σ = 15754152960. Its totient is φ = 912384000.

The previous prime is 3888143977. The next prime is 3888144037. The reversal of 3888144000 is 4418883.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58031967 + ... + 58032033.

It is an arithmetic number, because the mean of its divisors is an integer number (20513220).

Almost surely, 2^3888144000 is an apocalyptic number.

3888144000 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 3888144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877076480).

3888144000 is an abundant number, since it is smaller than the sum of its proper divisors (11866008960).

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

3888144000 is a wasteful number, since it uses less digits than its factorization.

3888144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3888144000 is about 62354.9837623265. The cubic root of 3888144000 is about 1572.4642491849.

The spelling of 3888144000 in words is "three billion, eight hundred eighty-eight million, one hundred forty-four thousand".