384263712 has 72 divisors (see below), whose sum is σ = 1248863616. Its totient is φ = 109789056.

The previous prime is 384263687. The next prime is 384263713. The reversal of 384263712 is 217362483.

It is a happy number.

384263712 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 637 + 12 = 666.

384263712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 (384263713) 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, 93288 + ... + 97319.

It is an arithmetic number, because the mean of its divisors is an integer number (17345328).

Almost surely, 2^384263712 is an apocalyptic number.

384263712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384263712 is an abundant number, since it is smaller than the sum of its proper divisors (864599904).

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

384263712 is a wasteful number, since it uses less digits than its factorization.

384263712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190630 (or 190619 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 384263712 is about 19602.6455357434. The cubic root of 384263712 is about 727.0145867341.

The spelling of 384263712 in words is "three hundred eighty-four million, two hundred sixty-three thousand, seven hundred twelve".