38531985408 has 624 divisors, whose sum is σ = 139024204800. Its totient is φ = 10032906240.

The previous prime is 38531985367. The next prime is 38531985433. The reversal of 38531985408 is 80458913583.

38531985408 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 1 + 98 + 540 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142184313 + ... + 142184583.

It is an arithmetic number, because the mean of its divisors is an integer number (222795200).

Almost surely, 2^38531985408 is an apocalyptic number.

38531985408 is a gapful number since it is divisible by the number (38) 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 38531985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69512102400).

38531985408 is an abundant number, since it is smaller than the sum of its proper divisors (100492219392).

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

38531985408 is a wasteful number, since it uses less digits than its factorization.

38531985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 38531985408 in words is "thirty-eight billion, five hundred thirty-one million, nine hundred eighty-five thousand, four hundred eight".