38981914272 has 288 divisors, whose sum is σ = 129340882944. Its totient is φ = 10906790400.

The previous prime is 38981914271. The next prime is 38981914273. The reversal of 38981914272 is 27241918983.

38981914272 is a `hidden beast` number, since 389 + 8 + 191 + 4 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (38981914271) and next prime (38981914273).

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (1741824) is a multiple of the sum of its prime factors (1792).

It is not an unprimeable number, because it can be changed into a prime (38981914271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25797997 + ... + 25799507.

It is an arithmetic number, because the mean of its divisors is an integer number (449100288).

Almost surely, 2^38981914272 is an apocalyptic number.

38981914272 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 38981914272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64670441472).

38981914272 is an abundant number, since it is smaller than the sum of its proper divisors (90358968672).

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

38981914272 is a wasteful number, since it uses less digits than its factorization.

38981914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1781 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 38981914272 in words is "thirty-eight billion, nine hundred eighty-one million, nine hundred fourteen thousand, two hundred seventy-two".