387408384 has 120 divisors (see below), whose sum is σ = 1219890672. Its totient is φ = 117381120.

The previous prime is 387408383. The next prime is 387408403. The reversal of 387408384 is 483804783.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (387408383) 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 11 ways as a sum of consecutive naturals, for example, 46867 + ... + 54509.

Almost surely, 2^387408384 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 387408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609945336).

387408384 is an abundant number, since it is smaller than the sum of its proper divisors (832482288).

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

387408384 is a wasteful number, since it uses less digits than its factorization.

387408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 387408384 is about 19682.6924987411. The cubic root of 387408384 is about 728.9924073566.

The spelling of 387408384 in words is "three hundred eighty-seven million, four hundred eight thousand, three hundred eighty-four".