384387840 has 216 divisors, whose sum is σ = 1354215408. Its totient is φ = 100638720.

The previous prime is 384387827. The next prime is 384387859. The reversal of 384387840 is 48783483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702447 + ... + 702993.

Almost surely, 2^384387840 is an apocalyptic number.

384387840 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 384387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677107704).

384387840 is an abundant number, since it is smaller than the sum of its proper divisors (969827568).

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

384387840 is a wasteful number, since it uses less digits than its factorization.

384387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

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

The square root of 384387840 is about 19605.8113833628. The cubic root of 384387840 is about 727.0928603680.

The spelling of 384387840 in words is "three hundred eighty-four million, three hundred eighty-seven thousand, eight hundred forty".