388466020800 has 2352 divisors, whose sum is σ = 1795752376992. Its totient is φ = 81218764800.

The previous prime is 388466020799. The next prime is 388466020823. The reversal of 388466020800 is 8020664883.

It is a happy number.

388466020800 is a `hidden beast` number, since 38 + 8 + 4 + 6 + 602 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2835518332 + ... + 2835518468.

Almost surely, 2^388466020800 is an apocalyptic number.

388466020800 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 388466020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897876188496).

388466020800 is an abundant number, since it is smaller than the sum of its proper divisors (1407286356192).

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

388466020800 is a wasteful number, since it uses less digits than its factorization.

388466020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 388466020800 in words is "three hundred eighty-eight billion, four hundred sixty-six million, twenty thousand, eight hundred".