388067122800 has 720 divisors, whose sum is σ = 1676649473280. Its totient is φ = 84841827840.

The previous prime is 388067122769. The next prime is 388067122843. The reversal of 388067122800 is 8221760883.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 12155659 + ... + 12187541.

It is an arithmetic number, because the mean of its divisors is an integer number (2328679824).

Almost surely, 2^388067122800 is an apocalyptic number.

388067122800 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 388067122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838324736640).

388067122800 is an abundant number, since it is smaller than the sum of its proper divisors (1288582350480).

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

388067122800 is a wasteful number, since it uses less digits than its factorization.

388067122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31947 (or 31923 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 388067122800 in words is "three hundred eighty-eight billion, sixty-seven million, one hundred twenty-two thousand, eight hundred".