38032286100 has 144 divisors (see below), whose sum is σ = 118424045376. Its totient is φ = 9388800000.

The previous prime is 38032286063. The next prime is 38032286113. The reversal of 38032286100 is 168223083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249975 + ... + 372225.

It is an arithmetic number, because the mean of its divisors is an integer number (822389204).

Almost surely, 2^38032286100 is an apocalyptic number.

38032286100 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 38032286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59212022688).

38032286100 is an abundant number, since it is smaller than the sum of its proper divisors (80391759276).

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

38032286100 is a wasteful number, since it uses less digits than its factorization.

38032286100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122346 (or 122339 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 38032286100 in words is "thirty-eight billion, thirty-two million, two hundred eighty-six thousand, one hundred".