387456384 has 256 divisors, whose sum is σ = 1274918400. Its totient is φ = 101744640.

The previous prime is 387456371. The next prime is 387456389. The reversal of 387456384 is 483654783.

It is a super-3 number, since 3×387456384³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387456389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2787387 + ... + 2787525.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^387456384 is an apocalyptic number.

387456384 is a gapful number since it is divisible by the number (34) 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 387456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

387456384 is an abundant number, since it is smaller than the sum of its proper divisors (887462016).

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

387456384 is a wasteful number, since it uses less digits than its factorization.

387456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

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

The square root of 387456384 is about 19683.9118063458. The cubic root of 387456384 is about 729.0225135631.

The spelling of 387456384 in words is "three hundred eighty-seven million, four hundred fifty-six thousand, three hundred eighty-four".