38464118784 has 840 divisors, whose sum is σ = 145107507600. Its totient is φ = 10144382976.

The previous prime is 38464118773. The next prime is 38464118821. The reversal of 38464118784 is 48781146483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38464118784 is a `hidden beast` number, since 38 + 46 + 411 + 87 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38464118784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2958778362 + ... + 2958778374.

Almost surely, 2^38464118784 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 38464118784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553753800).

38464118784 is an abundant number, since it is smaller than the sum of its proper divisors (106643388816).

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

38464118784 is an frugal number, since it uses more digits than its factorization.

38464118784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 38464118784 in words is "thirty-eight billion, four hundred sixty-four million, one hundred eighteen thousand, seven hundred eighty-four".