38132100 has 144 divisors (see below), whose sum is σ = 127075200. Its totient is φ = 9797760.

The previous prime is 38132093. The next prime is 38132123. The reversal of 38132100 is 123183.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 78057 + ... + 78543.

Almost surely, 2^38132100 is an apocalyptic number.

38132100 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 38132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537600).

38132100 is an abundant number, since it is smaller than the sum of its proper divisors (88943100).

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

38132100 is a wasteful number, since it uses less digits than its factorization.

38132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38132100 is about 6175.1194320434. The cubic root of 38132100 is about 336.5866663927.

Adding to 38132100 its reverse (123183), we get a palindrome (38255283).

The spelling of 38132100 in words is "thirty-eight million, one hundred thirty-two thousand, one hundred".