384269616 has 80 divisors (see below), whose sum is σ = 1106377600. Its totient is φ = 127697472.

The previous prime is 384269573. The next prime is 384269617. The reversal of 384269616 is 616962483.

384269616 is a `hidden beast` number, since 3 + 8 + 4 + 26 + 9 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (384269617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162555 + ... + 164901.

It is an arithmetic number, because the mean of its divisors is an integer number (13829720).

Almost surely, 2^384269616 is an apocalyptic number.

384269616 is a gapful number since it is divisible by the number (36) 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 384269616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553188800).

384269616 is an abundant number, since it is smaller than the sum of its proper divisors (722107984).

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

384269616 is a wasteful number, since it uses less digits than its factorization.

384269616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 384269616 is about 19602.7961270835. The cubic root of 384269616 is about 727.0183101077.

The spelling of 384269616 in words is "three hundred eighty-four million, two hundred sixty-nine thousand, six hundred sixteen".