3888208800000 has 1944 divisors, whose sum is σ = 16612249372992. Its totient is φ = 871879680000.

The previous prime is 3888208799971. The next prime is 3888208800043. The reversal of 3888208800000 is 88028883.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36338399947 + ... + 36338400053.

It is an arithmetic number, because the mean of its divisors is an integer number (8545395768).

Almost surely, 2^{3888208800000} is an apocalyptic number.

3888208800000 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 3888208800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306124686496).

3888208800000 is an abundant number, since it is smaller than the sum of its proper divisors (12724040572992).

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

3888208800000 is a wasteful number, since it uses less digits than its factorization.

3888208800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 3888208800000 in words is "three trillion, eight hundred eighty-eight billion, two hundred eight million, eight hundred thousand".