238630368384 has 256 divisors, whose sum is σ = 745280870400. Its totient is φ = 75011650560.

The previous prime is 238630368371. The next prime is 238630368467. The reversal of 238630368384 is 483863036832.

It is a happy number.

238630368384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 238630368384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5622507 + ... + 5664789.

It is an arithmetic number, because the mean of its divisors is an integer number (2911253400).

Almost surely, 2^238630368384 is an apocalyptic number.

238630368384 is a gapful number since it is divisible by the number (24) 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 238630368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372640435200).

238630368384 is an abundant number, since it is smaller than the sum of its proper divisors (506650502016).

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

238630368384 is a wasteful number, since it uses less digits than its factorization.

238630368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42400 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 238630368384 in words is "two hundred thirty-eight billion, six hundred thirty million, three hundred sixty-eight thousand, three hundred eighty-four".