38134235358720 has 1600 divisors, whose sum is σ = 148358975846400. Its totient is φ = 9331000934400.

The previous prime is 38134235358677. The next prime is 38134235358733. The reversal of 38134235358720 is 2785353243183.

38134235358720 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 4 + 2 + 3 + 53 + 587 + 2 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 18702419461 + ... + 18702421499.

It is an arithmetic number, because the mean of its divisors is an integer number (92724359904).

Almost surely, 2^{38134235358720} is an apocalyptic number.

38134235358720 is a gapful number since it is divisible by the number (30) 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 38134235358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74179487923200).

38134235358720 is an abundant number, since it is smaller than the sum of its proper divisors (110224740487680).

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

38134235358720 is a wasteful number, since it uses less digits than its factorization.

38134235358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 38134235358720 in words is "thirty-eight trillion, one hundred thirty-four billion, two hundred thirty-five million, three hundred fifty-eight thousand, seven hundred twenty".