38755813824 has 672 divisors, whose sum is σ = 144332919360. Its totient is φ = 10107224064.

The previous prime is 38755813823. The next prime is 38755813841. The reversal of 38755813824 is 42831855783.

38755813824 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 581 + 38 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (38755813823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150800704 + ... + 150800960.

It is an arithmetic number, because the mean of its divisors is an integer number (214781130).

Almost surely, 2^38755813824 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 38755813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72166459680).

38755813824 is an abundant number, since it is smaller than the sum of its proper divisors (105577105536).

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

38755813824 is a wasteful number, since it uses less digits than its factorization.

38755813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 38755813824 in words is "thirty-eight billion, seven hundred fifty-five million, eight hundred thirteen thousand, eight hundred twenty-four".