384117723 has 48 divisors (see below), whose sum is σ = 617250816. Its totient is φ = 228251520.

The previous prime is 384117709. The next prime is 384117761. The reversal of 384117723 is 327711483.

It is not a de Polignac number, because 384117723 - 2⁵ = 384117691 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (28224) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (384157723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722390 + ... + 1722612.

It is an arithmetic number, because the mean of its divisors is an integer number (12859392).

Almost surely, 2^384117723 is an apocalyptic number.

384117723 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

384117723 is a deficient number, since it is larger than the sum of its proper divisors (233133093).

384117723 is a wasteful number, since it uses less digits than its factorization.

384117723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 384117723 is about 19598.9214754282. The cubic root of 384117723 is about 726.9225062409.

The spelling of 384117723 in words is "three hundred eighty-four million, one hundred seventeen thousand, seven hundred twenty-three".