38134584864 has 336 divisors, whose sum is σ = 116013643200. Its totient is φ = 12328754688.

The previous prime is 38134584853. The next prime is 38134584871. The reversal of 38134584864 is 46848543183.

It is a happy number.

38134584864 is a `hidden beast` number, since 3 + 81 + 34 + 58 + 486 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38134584864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141764122 + ... + 141764390.

It is an arithmetic number, because the mean of its divisors is an integer number (345278700).

Almost surely, 2^38134584864 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 38134584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58006821600).

38134584864 is an abundant number, since it is smaller than the sum of its proper divisors (77879058336).

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

38134584864 is a wasteful number, since it uses less digits than its factorization.

38134584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 38134584864 in words is "thirty-eight billion, one hundred thirty-four million, five hundred eighty-four thousand, eight hundred sixty-four".