384426672 has 80 divisors (see below), whose sum is σ = 1142641152. Its totient is φ = 109094400.

The previous prime is 384426671. The next prime is 384426709. The reversal of 384426672 is 276624483.

It is a super-2 number, since 2×384426672² = 295567732289991168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (384426671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46948 + ... + 54524.

Almost surely, 2^384426672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571320576).

384426672 is an abundant number, since it is smaller than the sum of its proper divisors (758214480).

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

384426672 is a wasteful number, since it uses less digits than its factorization.

384426672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7740 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 384426672 is about 19606.8016769691. The cubic root of 384426672 is about 727.1173439029.

The spelling of 384426672 in words is "three hundred eighty-four million, four hundred twenty-six thousand, six hundred seventy-two".