38967731712 has 960 divisors, whose sum is σ = 149902072320. Its totient is φ = 9459597312.

The previous prime is 38967731683. The next prime is 38967731771. The reversal of 38967731712 is 21713776983.

It is a super-2 number, since 2×38967731712² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 533804508 + ... + 533804580.

It is an arithmetic number, because the mean of its divisors is an integer number (156147992).

Almost surely, 2^38967731712 is an apocalyptic number.

38967731712 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 38967731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74951036160).

38967731712 is an abundant number, since it is smaller than the sum of its proper divisors (110934340608).

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

38967731712 is a wasteful number, since it uses less digits than its factorization.

38967731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 38967731712 in words is "thirty-eight billion, nine hundred sixty-seven million, seven hundred thirty-one thousand, seven hundred twelve".