38838303360 has 1024 divisors, whose sum is σ = 155457792000. Its totient is φ = 9116319744.

The previous prime is 38838303349. The next prime is 38838303373. The reversal of 38838303360 is 6330383883.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400394832 + ... + 400394928.

It is an arithmetic number, because the mean of its divisors is an integer number (151814250).

Almost surely, 2^38838303360 is an apocalyptic number.

38838303360 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 38838303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896000).

38838303360 is an abundant number, since it is smaller than the sum of its proper divisors (116619488640).

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

38838303360 is a wasteful number, since it uses less digits than its factorization.

38838303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38838303360 in words is "thirty-eight billion, eight hundred thirty-eight million, three hundred three thousand, three hundred sixty".