384336720 has 60 divisors (see below), whose sum is σ = 1290733236. Its totient is φ = 102489600.

The previous prime is 384336683. The next prime is 384336721. The reversal of 384336720 is 27633483.

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 299843856 = 9192^2 + 17316^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (384336721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266181 + ... + 267620.

Almost surely, 2^384336720 is an apocalyptic number.

384336720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384336720 is an abundant number, since it is smaller than the sum of its proper divisors (906396516).

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

384336720 is a wasteful number, since it uses less digits than its factorization.

384336720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533820 (or 533811 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 384336720 is about 19604.5076449270. The cubic root of 384336720 is about 727.0606267479.

The spelling of 384336720 in words is "three hundred eighty-four million, three hundred thirty-six thousand, seven hundred twenty".