38144983968 has 480 divisors, whose sum is σ = 140463227520. Its totient is φ = 9886095360.

The previous prime is 38144983963. The next prime is 38144983969. The reversal of 38144983968 is 86938944183.

38144983968 is a `hidden beast` number, since 3 + 81 + 4 + 498 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (38144983963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13915078 + ... + 13917818.

It is an arithmetic number, because the mean of its divisors is an integer number (292631724).

Almost surely, 2^38144983968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38144983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70231613760).

38144983968 is an abundant number, since it is smaller than the sum of its proper divisors (102318243552).

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

38144983968 is a wasteful number, since it uses less digits than its factorization.

38144983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

It can be divided in two parts, 3814498 and 3968, that added together give a triangular number (3818466 = T₂₇₆₃).

The spelling of 38144983968 in words is "thirty-eight billion, one hundred forty-four million, nine hundred eighty-three thousand, nine hundred sixty-eight".