38477856384 has 448 divisors, whose sum is σ = 132044018400. Its totient is φ = 11040675840.

The previous prime is 38477856377. The next prime is 38477856401. The reversal of 38477856384 is 48365877483.

38477856384 is a `hidden beast` number, since 3 + 8 + 477 + 85 + 6 + 3 + 84 = 666.

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 55 ways as a sum of consecutive naturals, for example, 19501222 + ... + 19503194.

Almost surely, 2^38477856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38477856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66022009200).

38477856384 is an abundant number, since it is smaller than the sum of its proper divisors (93566162016).

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

38477856384 is a wasteful number, since it uses less digits than its factorization.

38477856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2008 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 38477856384 in words is "thirty-eight billion, four hundred seventy-seven million, eight hundred fifty-six thousand, three hundred eighty-four".