38845817010 has 288 divisors, whose sum is σ = 136638028800. Its totient is φ = 7450755840.

The previous prime is 38845816987. The next prime is 38845817011. The reversal of 38845817010 is 1071854883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38845817011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 971391 + ... + 1010589.

It is an arithmetic number, because the mean of its divisors is an integer number (474437600).

Almost surely, 2^38845817010 is an apocalyptic number.

38845817010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38845817010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68319014400).

38845817010 is an abundant number, since it is smaller than the sum of its proper divisors (97792211790).

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

38845817010 is a wasteful number, since it uses less digits than its factorization.

38845817010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39254 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 38845817010 in words is "thirty-eight billion, eight hundred forty-five million, eight hundred seventeen thousand, ten".