38441408 has 56 divisors (see below), whose sum is σ = 81351120. Its totient is φ = 17971200.

The previous prime is 38441401. The next prime is 38441419. The reversal of 38441408 is 80414483.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38441401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122660 + ... + 122972.

Almost surely, 2^38441408 is an apocalyptic number.

38441408 is a gapful number since it is divisible by the number (38) 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 38441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675560).

38441408 is an abundant number, since it is smaller than the sum of its proper divisors (42909712).

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

38441408 is a wasteful number, since it uses less digits than its factorization.

38441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 38441408 is about 6200.1135473473. The cubic root of 38441408 is about 337.4942894324.

The spelling of 38441408 in words is "thirty-eight million, four hundred forty-one thousand, four hundred eight".