38129100 has 72 divisors (see below), whose sum is σ = 111190800. Its totient is φ = 10087680.

The previous prime is 38129053. The next prime is 38129107. The reversal of 38129100 is 192183.

38129100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38129107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44274 + ... + 45126.

Almost surely, 2^38129100 is an apocalyptic number.

38129100 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 38129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595400).

38129100 is an abundant number, since it is smaller than the sum of its proper divisors (73061700).

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

38129100 is a wasteful number, since it uses less digits than its factorization.

38129100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 38129100 is about 6174.8765169840. The cubic root of 38129100 is about 336.5778393023.

The spelling of 38129100 in words is "thirty-eight million, one hundred twenty-nine thousand, one hundred".