388800000000 has 702 divisors, whose sum is σ = 1455821520244. Its totient is φ = 103680000000.

The previous prime is 388799999971. The next prime is 388800000013. The reversal of 388800000000 is 8883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 388800000000.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77759999998 + ... + 77760000002.

Almost surely, 2^388800000000 is an apocalyptic number.

388800000000 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 388800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727910760122).

388800000000 is an abundant number, since it is smaller than the sum of its proper divisors (1067021520244).

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

388800000000 is an frugal number, since it uses more digits than its factorization.

388800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Multiplying 388800000000 by its sum of digits (27), we get a 4-th power (10497600000000 = 1800⁴).

388800000000 divided by its sum of digits (27) gives a square (14400000000 = 120000²).

Adding to 388800000000 its reverse (8883), we get a palindrome (388800008883).

The spelling of 388800000000 in words is "three hundred eighty-eight billion, eight hundred million", and thus it is an aban number.