38439124992 has 256 divisors, whose sum is σ = 118906704000. Its totient is φ = 12249464832.

The previous prime is 38439124957. The next prime is 38439124993. The reversal of 38439124992 is 29942193483.

38439124992 is a `hidden beast` number, since 3 + 8 + 4 + 391 + 249 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38439124993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20347984 + ... + 20349872.

Almost surely, 2^38439124992 is an apocalyptic number.

38439124992 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 38439124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59453352000).

38439124992 is an abundant number, since it is smaller than the sum of its proper divisors (80467579008).

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

38439124992 is an equidigital number, since it uses as much as digits as its factorization.

38439124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1917 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 38439124992 in words is "thirty-eight billion, four hundred thirty-nine million, one hundred twenty-four thousand, nine hundred ninety-two".