38388100 has 36 divisors (see below), whose sum is σ = 84133504. Its totient is φ = 15202080.

The previous prime is 38388089. The next prime is 38388107. The reversal of 38388100 is 188383.

It is a super-2 number, since 2×38388100² = 2947292443220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38388107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8437 + ... + 12163.

Almost surely, 2^38388100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42066752).

38388100 is an abundant number, since it is smaller than the sum of its proper divisors (45745404).

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

38388100 is a wasteful number, since it uses less digits than its factorization.

38388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 38388100 is about 6195.8131024104. The cubic root of 38388100 is about 337.3382123509.

The spelling of 38388100 in words is "thirty-eight million, three hundred eighty-eight thousand, one hundred".