38825100 has 108 divisors (see below), whose sum is σ = 122882760. Its totient is φ = 10252800.

The previous prime is 38825089. The next prime is 38825117. The reversal of 38825100 is 152883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160980 + ... + 161220.

Almost surely, 2^38825100 is an apocalyptic number.

38825100 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 38825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

38825100 is an abundant number, since it is smaller than the sum of its proper divisors (84057660).

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

38825100 is a wasteful number, since it uses less digits than its factorization.

38825100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38825100 is about 6230.9790562960. The cubic root of 38825100 is about 338.6134419598.

Adding to 38825100 its reverse (152883), we get a palindrome (38977983).

The spelling of 38825100 in words is "thirty-eight million, eight hundred twenty-five thousand, one hundred".