38284354555200 has 1344 divisors, whose sum is σ = 155415192791040. Its totient is φ = 9103933440000.

The previous prime is 38284354555171. The next prime is 38284354555201. The reversal of 38284354555200 is 255545348283.

38284354555200 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 43 + 5 + 45 + 552 + 0 + 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 not an unprimeable number, because it can be changed into a prime (38284354555201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12204128032 + ... + 12204131168.

It is an arithmetic number, because the mean of its divisors is an integer number (115636304160).

Almost surely, 2^{38284354555200} is an apocalyptic number.

38284354555200 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 38284354555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77707596395520).

38284354555200 is an abundant number, since it is smaller than the sum of its proper divisors (117130838235840).

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

38284354555200 is a wasteful number, since it uses less digits than its factorization.

38284354555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 38284354555200 in words is "thirty-eight trillion, two hundred eighty-four billion, three hundred fifty-four million, five hundred fifty-five thousand, two hundred".