388942075200 has 672 divisors, whose sum is σ = 1567333684224. Its totient is φ = 82414632960.

The previous prime is 388942075199. The next prime is 388942075201. The reversal of 388942075200 is 2570249883.

It is an interprime number because it is at equal distance from previous prime (388942075199) and next prime (388942075201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 388942075200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388942075201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38265319 + ... + 38275481.

It is an arithmetic number, because the mean of its divisors is an integer number (2332341792).

Almost surely, 2^388942075200 is an apocalyptic number.

388942075200 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 388942075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783666842112).

388942075200 is an abundant number, since it is smaller than the sum of its proper divisors (1178391609024).

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

388942075200 is a wasteful number, since it uses less digits than its factorization.

388942075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 388942075200 in words is "three hundred eighty-eight billion, nine hundred forty-two million, seventy-five thousand, two hundred".