38441100 has 72 divisors (see below), whose sum is σ = 112454608. Its totient is φ = 10137600.

The previous prime is 38441099. The next prime is 38441101. The reversal of 38441100 is 114483.

It is an interprime number because it is at equal distance from previous prime (38441099) and next prime (38441101).

It is not an unprimeable number, because it can be changed into a prime (38441101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28440 + ... + 29760.

Almost surely, 2^38441100 is an apocalyptic number.

38441100 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 38441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227304).

38441100 is an abundant number, since it is smaller than the sum of its proper divisors (74013508).

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

38441100 is a wasteful number, since it uses less digits than its factorization.

38441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38441100 is about 6200.0887090428. The cubic root of 38441100 is about 337.4933880735.

Adding to 38441100 its reverse (114483), we get a palindrome (38555583).

The spelling of 38441100 in words is "thirty-eight million, four hundred forty-one thousand, one hundred".