38440944 has 120 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 11735040.

The previous prime is 38440937. The next prime is 38440949. The reversal of 38440944 is 44904483.

38440944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38440944² = 2955412351222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38440899 and 38440908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38440949) 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 23 ways as a sum of consecutive naturals, for example, 100177 + ... + 100559.

Almost surely, 2^38440944 is an apocalyptic number.

38440944 is a gapful number since it is divisible by the number (34) 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 38440944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

38440944 is an abundant number, since it is smaller than the sum of its proper divisors (78551568).

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

38440944 is a wasteful number, since it uses less digits than its factorization.

38440944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38440944 is about 6200.0761285649. The cubic root of 38440944 is about 337.4929315392.

It can be divided in two parts, 384 and 40944, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 38440944 in words is "thirty-eight million, four hundred forty thousand, nine hundred forty-four".