38863798272 has 512 divisors, whose sum is σ = 129182592000. Its totient is φ = 11466178560.

The previous prime is 38863798261. The next prime is 38863798301. The reversal of 38863798272 is 27289736883.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-3 number, since 3×38863798272³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (48771072) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356548554 + ... + 356548662.

It is an arithmetic number, because the mean of its divisors is an integer number (252309750).

Almost surely, 2^38863798272 is an apocalyptic number.

38863798272 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 38863798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64591296000).

38863798272 is an abundant number, since it is smaller than the sum of its proper divisors (90318793728).

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

38863798272 is a wasteful number, since it uses less digits than its factorization.

38863798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 38863798272 in words is "thirty-eight billion, eight hundred sixty-three million, seven hundred ninety-eight thousand, two hundred seventy-two".