238038408000 has 336 divisors, whose sum is σ = 888531111936. Its totient is φ = 60716620800.

The previous prime is 238038407983. The next prime is 238038408037. The reversal of 238038408000 is 804830832.

It is a happy number.

238038408000 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1584129 + ... + 1727871.

Almost surely, 2^238038408000 is an apocalyptic number.

238038408000 is a gapful number since it is divisible by the number (20) 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 238038408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444265555968).

238038408000 is an abundant number, since it is smaller than the sum of its proper divisors (650492703936).

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

238038408000 is a wasteful number, since it uses less digits than its factorization.

238038408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143799 (or 143776 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 238038408000 in words is "two hundred thirty-eight billion, thirty-eight million, four hundred eight thousand".