38919186768384 has 400 divisors, whose sum is σ = 132457986943128. Its totient is φ = 11270712066048.

The previous prime is 38919186768337. The next prime is 38919186768391. The reversal of 38919186768384 is 48386768191983.

38919186768384 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 91 + 86 + 76 + 8 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30916624713984 + 8002562054400 = 5560272^2 + 2828880^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7042134 + ... + 11288490.

Almost surely, 2^{38919186768384} is an apocalyptic number.

38919186768384 is a gapful number since it is divisible by the number (34) 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 38919186768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66228993471564).

38919186768384 is an abundant number, since it is smaller than the sum of its proper divisors (93538800174744).

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

38919186768384 is a wasteful number, since it uses less digits than its factorization.

38919186768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246417 (or 4246392 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 38919186768384 in words is "thirty-eight trillion, nine hundred nineteen billion, one hundred eighty-six million, seven hundred sixty-eight thousand, three hundred eighty-four".