38386123776 has 1408 divisors, whose sum is σ = 162869145600. Its totient is φ = 8599633920.

The previous prime is 38386123751. The next prime is 38386123781. The reversal of 38386123776 is 67732168383.

38386123776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

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.

Its product of digits (6096384) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525837276 + ... + 525837348.

Almost surely, 2^38386123776 is an apocalyptic number.

38386123776 is a gapful number since it is divisible by the number (36) 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 38386123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81434572800).

38386123776 is an abundant number, since it is smaller than the sum of its proper divisors (124483021824).

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

38386123776 is a wasteful number, since it uses less digits than its factorization.

38386123776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 38386123776 in words is "thirty-eight billion, three hundred eighty-six million, one hundred twenty-three thousand, seven hundred seventy-six".