38834100 has 144 divisors (see below), whose sum is σ = 131588800. Its totient is φ = 9797760.

The previous prime is 38834099. The next prime is 38834111. The reversal of 38834100 is 143883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50922 + ... + 51678.

Almost surely, 2^38834100 is an apocalyptic number.

38834100 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 38834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65794400).

38834100 is an abundant number, since it is smaller than the sum of its proper divisors (92754700).

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

38834100 is a wasteful number, since it uses less digits than its factorization.

38834100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38834100 is about 6231.7012123496. The cubic root of 38834100 is about 338.6396044640.

Adding to 38834100 its reverse (143883), we get a palindrome (38977983).

The spelling of 38834100 in words is "thirty-eight million, eight hundred thirty-four thousand, one hundred".