38441400 has 96 divisors (see below), whose sum is σ = 120825600. Its totient is φ = 10108800.

The previous prime is 38441393. The next prime is 38441401. The reversal of 38441400 is 414483.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 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, 46995 + ... + 47805.

It is an arithmetic number, because the mean of its divisors is an integer number (1258600).

Almost surely, 2^38441400 is an apocalyptic number.

38441400 is a gapful number since it is divisible by the number (30) 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 38441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60412800).

38441400 is an abundant number, since it is smaller than the sum of its proper divisors (82384200).

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

38441400 is a wasteful number, since it uses less digits than its factorization.

38441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 38441400 is about 6200.1129021978. The cubic root of 38441400 is about 337.4942660206.

Adding to 38441400 its reverse (414483), we get a palindrome (38855883).

The spelling of 38441400 in words is "thirty-eight million, four hundred forty-one thousand, four hundred".