388021920 has 192 divisors, whose sum is σ = 1436206464. Its totient is φ = 86814720.

The previous prime is 388021913. The next prime is 388021927. The reversal of 388021920 is 29120883.

It is an interprime number because it is at equal distance from previous prime (388021913) and next prime (388021927).

It is a super-2 number, since 2×388021920² = 301122020800972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (388021927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65814 + ... + 71466.

It is an arithmetic number, because the mean of its divisors is an integer number (7480242).

Almost surely, 2^388021920 is an apocalyptic number.

388021920 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 388021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718103232).

388021920 is an abundant number, since it is smaller than the sum of its proper divisors (1048184544).

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

388021920 is a wasteful number, since it uses less digits than its factorization.

388021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 388021920 is about 19698.2720054324. The cubic root of 388021920 is about 729.3770378072.

The spelling of 388021920 in words is "three hundred eighty-eight million, twenty-one thousand, nine hundred twenty".