38767951872 has 276 divisors, whose sum is σ = 122138117920. Its totient is φ = 11777605632.

The previous prime is 38767951867. The next prime is 38767951891. The reversal of 38767951872 is 27815976783.

38767951872 is a `hidden beast` number, since 387 + 6 + 79 + 5 + 187 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490733529 + ... + 490733607.

Almost surely, 2^38767951872 is an apocalyptic number.

38767951872 is a gapful number since it is divisible by the number (32) 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 38767951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61069058960).

38767951872 is an abundant number, since it is smaller than the sum of its proper divisors (83370166048).

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

38767951872 is an frugal number, since it uses more digits than its factorization.

38767951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 38767951872 in words is "thirty-eight billion, seven hundred sixty-seven million, nine hundred fifty-one thousand, eight hundred seventy-two".