384164640 has 192 divisors, whose sum is σ = 1423941120. Its totient is φ = 96399360.

The previous prime is 384164639. The next prime is 384164647. The reversal of 384164640 is 46461483.

384164640 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 384164595 and 384164604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384164647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70825 + ... + 76055.

It is an arithmetic number, because the mean of its divisors is an integer number (7416360).

Almost surely, 2^384164640 is an apocalyptic number.

384164640 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 384164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711970560).

384164640 is an abundant number, since it is smaller than the sum of its proper divisors (1039776480).

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

384164640 is a wasteful number, since it uses less digits than its factorization.

384164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 384164640 is about 19600.1183669895. The cubic root of 384164640 is about 726.9521010176.

The spelling of 384164640 in words is "three hundred eighty-four million, one hundred sixty-four thousand, six hundred forty".