3888720000 has 480 divisors, whose sum is σ = 15285544560. Its totient is φ = 940800000.

The previous prime is 3888719983. The next prime is 3888720013. The reversal of 3888720000 is 278883.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 7919755 + ... + 7920245.

Almost surely, 2^3888720000 is an apocalyptic number.

3888720000 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 3888720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642772280).

3888720000 is an abundant number, since it is smaller than the sum of its proper divisors (11396824560).

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

3888720000 is a wasteful number, since it uses less digits than its factorization.

3888720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3888720000 is about 62359.6023079044. The cubic root of 3888720000 is about 1572.5418950304.

Adding to 3888720000 its reverse (278883), we get a palindrome (3888998883).

The spelling of 3888720000 in words is "three billion, eight hundred eighty-eight million, seven hundred twenty thousand".