3888466560000 has 1320 divisors, whose sum is σ = 15879688048224. Its totient is φ = 942243840000.

The previous prime is 3888466559953. The next prime is 3888466560031. The reversal of 3888466560000 is 656648883.

3888466560000 is a `hidden beast` number, since 38 + 8 + 8 + 46 + 6 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1710718864 + ... + 1710721136.

Almost surely, 2^{3888466560000} is an apocalyptic number.

3888466560000 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 3888466560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939844024112).

3888466560000 is an abundant number, since it is smaller than the sum of its proper divisors (11991221488224).

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

3888466560000 is an equidigital number, since it uses as much as digits as its factorization.

3888466560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3888466560000 in words is "three trillion, eight hundred eighty-eight billion, four hundred sixty-six million, five hundred sixty thousand".