38783011284864 has 2304 divisors, whose sum is σ = 156720236175360. Its totient is φ = 8910972518400.

The previous prime is 38783011284863. The next prime is 38783011284889. The reversal of 38783011284864 is 46848211038783.

It is a happy number.

38783011284864 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 30 + 112 + 8 + 486 + 4 = 666.

38783011284864 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38783011284863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103975901382 + ... + 103975901754.

It is an arithmetic number, because the mean of its divisors is an integer number (68020935840).

Almost surely, 2^{38783011284864} is an apocalyptic number.

38783011284864 is a gapful number since it is divisible by the number (34) 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 38783011284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78360118087680).

38783011284864 is an abundant number, since it is smaller than the sum of its proper divisors (117937224890496).

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

38783011284864 is a wasteful number, since it uses less digits than its factorization.

38783011284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 38783011284864 in words is "thirty-eight trillion, seven hundred eighty-three billion, eleven million, two hundred eighty-four thousand, eight hundred sixty-four".