38638100 has 18 divisors (see below), whose sum is σ = 83844894. Its totient is φ = 15455200.

The previous prime is 38638087. The next prime is 38638133. The reversal of 38638100 is 183683.

It can be written as a sum of positive squares in 3 ways, for example, as 643204 + 37994896 = 802^2 + 6164^2 .

It is a super-2 number, since 2×38638100² = 2985805543220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193091 + ... + 193290.

Almost surely, 2^38638100 is an apocalyptic number.

It is an amenable number.

38638100 is an abundant number, since it is smaller than the sum of its proper divisors (45206794).

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

38638100 is a wasteful number, since it uses less digits than its factorization.

38638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386395 (or 386388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 38638100 is about 6215.9552765444. The cubic root of 38638100 is about 338.0689261066.

The spelling of 38638100 in words is "thirty-eight million, six hundred thirty-eight thousand, one hundred".