384421680 has 480 divisors, whose sum is σ = 1530705600. Its totient is φ = 88252416.

The previous prime is 384421673. The next prime is 384421691. The reversal of 384421680 is 86124483.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13255906 + ... + 13255934.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2^384421680 is an apocalyptic number.

384421680 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 384421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765352800).

384421680 is an abundant number, since it is smaller than the sum of its proper divisors (1146283920).

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

384421680 is a wasteful number, since it uses less digits than its factorization.

384421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384421680 is about 19606.6743737942. The cubic root of 384421680 is about 727.1141965445.

The spelling of 384421680 in words is "three hundred eighty-four million, four hundred twenty-one thousand, six hundred eighty".