8038044 has 72 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 2270880.

The previous prime is 8038027. The next prime is 8038061. The reversal of 8038044 is 4408308.

8038044 = T₁₉₂ + T₁₉₃ + ... + T₃₈₀.

It is an interprime number because it is at equal distance from previous prime (8038027) and next prime (8038061).

It is a super-2 number, since 2×8038044² = 129220302691872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8037999 and 8038017.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41989 + ... + 42179.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 2^8038044 is an apocalyptic number.

8038044 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 8038044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

8038044 is an abundant number, since it is smaller than the sum of its proper divisors (15444324).

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

8038044 is a wasteful number, since it uses less digits than its factorization.

8038044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8038044 is about 2835.1444407649. The cubic root of 8038044 is about 200.3165321062.

The spelling of 8038044 in words is "eight million, thirty-eight thousand, forty-four".