38384686080 has 1056 divisors, whose sum is σ = 155354526720. Its totient is φ = 8971223040.

The previous prime is 38384686037. The next prime is 38384686091. The reversal of 38384686080 is 8068648383.

It is a happy number.

38384686080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724239334 + ... + 724239386.

Almost surely, 2^38384686080 is an apocalyptic number.

38384686080 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 38384686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77677263360).

38384686080 is an abundant number, since it is smaller than the sum of its proper divisors (116969840640).

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

38384686080 is a wasteful number, since it uses less digits than its factorization.

38384686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38384686080 in words is "thirty-eight billion, three hundred eighty-four million, six hundred eighty-six thousand, eighty".