388321920 has 192 divisors, whose sum is σ = 1532643840. Its totient is φ = 88750080.

The previous prime is 388321877. The next prime is 388321951. The reversal of 388321920 is 29123883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35505 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (7982520).

Almost surely, 2^388321920 is an apocalyptic number.

388321920 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 388321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766321920).

388321920 is an abundant number, since it is smaller than the sum of its proper divisors (1144321920).

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

388321920 is a wasteful number, since it uses less digits than its factorization.

388321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 388321920 is about 19705.8854152763. The cubic root of 388321920 is about 729.5649625372.

The spelling of 388321920 in words is "three hundred eighty-eight million, three hundred twenty-one thousand, nine hundred twenty".