38053834850304 has 2040 divisors, whose sum is σ = 145119095408880. Its totient is φ = 9846814408704.

The previous prime is 38053834850183. The next prime is 38053834850309. The reversal of 38053834850304 is 40305843835083.

It is a happy number.

38053834850304 is a `hidden beast` number, since 3 + 8 + 0 + 53 + 83 + 4 + 8 + 503 + 0 + 4 = 666.

It is a super-2 number, since 2×38053834850304² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053834850309) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 717996883942 + ... + 717996883994.

Almost surely, 2^{38053834850304} 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 38053834850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72559547704440).

38053834850304 is an abundant number, since it is smaller than the sum of its proper divisors (107065260558576).

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

38053834850304 is an frugal number, since it uses more digits than its factorization.

38053834850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 38053834850304 in words is "thirty-eight trillion, fifty-three billion, eight hundred thirty-four million, eight hundred fifty thousand, three hundred four".