38982658176 has 384 divisors, whose sum is σ = 140278919040. Its totient is φ = 10094837760.

The previous prime is 38982658147. The next prime is 38982658199. The reversal of 38982658176 is 67185628983.

38982658176 is a `hidden beast` number, since 389 + 82 + 6 + 5 + 8 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57923376 + ... + 57924048.

It is an arithmetic number, because the mean of its divisors is an integer number (365309685).

Almost surely, 2^38982658176 is an apocalyptic number.

38982658176 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 38982658176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70139459520).

38982658176 is an abundant number, since it is smaller than the sum of its proper divisors (101296260864).

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

38982658176 is a wasteful number, since it uses less digits than its factorization.

38982658176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1349 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 38982658176 in words is "thirty-eight billion, nine hundred eighty-two million, six hundred fifty-eight thousand, one hundred seventy-six".