38039066100 has 360 divisors, whose sum is σ = 144368968128. Its totient is φ = 8482060800.

The previous prime is 38039066099. The next prime is 38039066123. The reversal of 38039066100 is 166093083.

It is a happy number.

38039066100 is a `hidden beast` number, since 3 + 8 + 0 + 39 + 0 + 6 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2316519 + ... + 2332881.

Almost surely, 2^38039066100 is an apocalyptic number.

38039066100 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 38039066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72184484064).

38039066100 is an abundant number, since it is smaller than the sum of its proper divisors (106329902028).

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

38039066100 is a wasteful number, since it uses less digits than its factorization.

38039066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 38039066100 in words is "thirty-eight billion, thirty-nine million, sixty-six thousand, one hundred".