38565484776 has 960 divisors, whose sum is σ = 147779681280. Its totient is φ = 9137111040.

The previous prime is 38565484757. The next prime is 38565484823. The reversal of 38565484776 is 67748456583.

38565484776 is a `hidden beast` number, since 3 + 85 + 6 + 5 + 484 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 528294276 + ... + 528294348.

It is an arithmetic number, because the mean of its divisors is an integer number (153937168).

Almost surely, 2^38565484776 is an apocalyptic number.

38565484776 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 38565484776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73889840640).

38565484776 is an abundant number, since it is smaller than the sum of its proper divisors (109214196504).

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

38565484776 is a wasteful number, since it uses less digits than its factorization.

38565484776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 38565484776 in words is "thirty-eight billion, five hundred sixty-five million, four hundred eighty-four thousand, seven hundred seventy-six".