384237126 has 288 divisors, whose sum is σ = 1147281408. Its totient is φ = 91808640.

The previous prime is 384237101. The next prime is 384237127. The reversal of 384237126 is 621732483.

It is a happy number.

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

Its product of digits (48384) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384237127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8175235 + ... + 8175281.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2^384237126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384237126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704).

384237126 is an abundant number, since it is smaller than the sum of its proper divisors (763044282).

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

384237126 is a wasteful number, since it uses less digits than its factorization.

384237126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

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

The square root of 384237126 is about 19601.9674012585. The cubic root of 384237126 is about 726.9978197284.

The spelling of 384237126 in words is "three hundred eighty-four million, two hundred thirty-seven thousand, one hundred twenty-six".