38580100 has 72 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 13975680.

The previous prime is 38580083. The next prime is 38580109. The reversal of 38580100 is 108583.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (38580109) 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, 76449 + ... + 76951.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^38580100 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 38580100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

38580100 is an abundant number, since it is smaller than the sum of its proper divisors (53289020).

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

38580100 is a wasteful number, since it uses less digits than its factorization.

38580100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 38580100 is about 6211.2881111731. The cubic root of 38580100 is about 337.8996819568.

Adding to 38580100 its reverse (108583), we get a palindrome (38688683).

The spelling of 38580100 in words is "thirty-eight million, five hundred eighty thousand, one hundred".