388445376 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 106905600.

The previous prime is 388445363. The next prime is 388445383. The reversal of 388445376 is 673544883.

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

It is an unprimeable number.

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, 1112850 + ... + 1113198.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^388445376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

388445376 is an abundant number, since it is smaller than the sum of its proper divisors (840508224).

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

388445376 is a wasteful number, since it uses less digits than its factorization.

388445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 388445376 is about 19709.0176315310. The cubic root of 388445376 is about 729.6422692116.

The spelling of 388445376 in words is "three hundred eighty-eight million, four hundred forty-five thousand, three hundred seventy-six".