388834320 has 320 divisors, whose sum is σ = 1491333120. Its totient is φ = 81844224.

The previous prime is 388834309. The next prime is 388834339. The reversal of 388834320 is 23438883.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1120387 + ... + 1120733.

It is an arithmetic number, because the mean of its divisors is an integer number (4660416).

Almost surely, 2^388834320 is an apocalyptic number.

388834320 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 388834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745666560).

388834320 is an abundant number, since it is smaller than the sum of its proper divisors (1102498800).

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

388834320 is a wasteful number, since it uses less digits than its factorization.

388834320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 388834320 is about 19718.8823212676. The cubic root of 388834320 is about 729.8857142662.

The spelling of 388834320 in words is "three hundred eighty-eight million, eight hundred thirty-four thousand, three hundred twenty".