38675100 has 72 divisors (see below), whose sum is σ = 112836528. Its totient is φ = 10227200.

The previous prime is 38675099. The next prime is 38675111. The reversal of 38675100 is 157683.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40630 + ... + 41570.

It is an arithmetic number, because the mean of its divisors is an integer number (1567174).

Almost surely, 2^38675100 is an apocalyptic number.

38675100 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 38675100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56418264).

38675100 is an abundant number, since it is smaller than the sum of its proper divisors (74161428).

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

38675100 is a wasteful number, since it uses less digits than its factorization.

38675100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 38675100 is about 6218.9307762669. The cubic root of 38675100 is about 338.1768037338.

The spelling of 38675100 in words is "thirty-eight million, six hundred seventy-five thousand, one hundred".