38781010944 has 264 divisors, whose sum is σ = 121981630680. Its totient is φ = 11795300352.

The previous prime is 38781010921. The next prime is 38781010951. The reversal of 38781010944 is 44901018783.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2941977600 + 35839033344 = 54240^2 + 189312^2 .

It is a super-2 number, since 2×38781010944² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38781010944.

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 23 ways as a sum of consecutive naturals, for example, 10661094 + ... + 10664730.

Almost surely, 2^38781010944 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 38781010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990815340).

38781010944 is an abundant number, since it is smaller than the sum of its proper divisors (83200619736).

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

38781010944 is a wasteful number, since it uses less digits than its factorization.

38781010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38781010944 in words is "thirty-eight billion, seven hundred eighty-one million, ten thousand, nine hundred forty-four".