8038120944 has 160 divisors (see below), whose sum is σ = 25160421376. Its totient is φ = 2162350080.

The previous prime is 8038120933. The next prime is 8038121009. The reversal of 8038120944 is 4490218308.

It is a super-2 number, since 2×8038120944² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374964 + ... + 395820.

Almost surely, 2^8038120944 is an apocalyptic number.

8038120944 is a gapful number since it is divisible by the number (84) 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 8038120944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580210688).

8038120944 is an abundant number, since it is smaller than the sum of its proper divisors (17122300432).

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

8038120944 is a wasteful number, since it uses less digits than its factorization.

8038120944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20943 (or 20937 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8038120944 is about 89655.5683937144. The cubic root of 8038120944 is about 2003.1717127934.

The spelling of 8038120944 in words is "eight billion, thirty-eight million, one hundred twenty thousand, nine hundred forty-four".