38124100 has 72 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 12923520.

The previous prime is 38124083. The next prime is 38124103. The reversal of 38124100 is 142183.

It is not an unprimeable number, because it can be changed into a prime (38124103) 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, 74646 + ... + 75154.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^38124100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

38124100 is an abundant number, since it is smaller than the sum of its proper divisors (57494780).

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

38124100 is a wasteful number, since it uses less digits than its factorization.

38124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 38124100 is about 6174.4716373144. The cubic root of 38124100 is about 336.5631264560.

Adding to 38124100 its reverse (142183), we get a palindrome (38266283).

The spelling of 38124100 in words is "thirty-eight million, one hundred twenty-four thousand, one hundred".