387120384 has 324 divisors, whose sum is σ = 1357085184. Its totient is φ = 109734912.

The previous prime is 387120373. The next prime is 387120389. The reversal of 387120384 is 483021783.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387120389) 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 35 ways as a sum of consecutive naturals, for example, 3048129 + ... + 3048255.

Almost surely, 2^387120384 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 387120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678542592).

387120384 is an abundant number, since it is smaller than the sum of its proper divisors (969964800).

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

387120384 is an equidigital number, since it uses as much as digits as its factorization.

387120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 387120384 is about 19675.3750663107. The cubic root of 387120384 is about 728.8117178747.

The spelling of 387120384 in words is "three hundred eighty-seven million, one hundred twenty thousand, three hundred eighty-four".