388744012800 has 3168 divisors, whose sum is σ = 1862650782720. Its totient is φ = 78829977600.

The previous prime is 388744012757. The next prime is 388744012871. The reversal of 388744012800 is 8210447883.

388744012800 is a `hidden beast` number, since 3 + 8 + 87 + 440 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×388744012800² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 16901913589 + ... + 16901913611.

Almost surely, 2^388744012800 is an apocalyptic number.

388744012800 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 388744012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931325391360).

388744012800 is an abundant number, since it is smaller than the sum of its proper divisors (1473906769920).

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

388744012800 is a wasteful number, since it uses less digits than its factorization.

388744012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 388744012800 in words is "three hundred eighty-eight billion, seven hundred forty-four million, twelve thousand, eight hundred".