388463886720 has 1536 divisors, whose sum is σ = 1760397926400. Its totient is φ = 79188295680.

The previous prime is 388463886703. The next prime is 388463886763. The reversal of 388463886720 is 27688364883.

388463886720 is a `hidden beast` number, since 38 + 8 + 463 + 88 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633709134 + ... + 633709746.

It is an arithmetic number, because the mean of its divisors is an integer number (1146092400).

Almost surely, 2^388463886720 is an apocalyptic number.

388463886720 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 388463886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880198963200).

388463886720 is an abundant number, since it is smaller than the sum of its proper divisors (1371934039680).

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

388463886720 is a wasteful number, since it uses less digits than its factorization.

388463886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 388463886720 in words is "three hundred eighty-eight billion, four hundred sixty-three million, eight hundred eighty-six thousand, seven hundred twenty".