38852170020300 has 2304 divisors, whose sum is σ = 160828706304000. Its totient is φ = 6999252664320.

The previous prime is 38852170020217. The next prime is 38852170020311. The reversal of 38852170020300 is 302007125883.

It is a super-2 number, since 2×38852170020300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35033516146 + ... + 35033517254.

It is an arithmetic number, because the mean of its divisors is an integer number (69804126000).

Almost surely, 2^{38852170020300} is an apocalyptic number.

38852170020300 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 38852170020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80414353152000).

38852170020300 is an abundant number, since it is smaller than the sum of its proper divisors (121976536283700).

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

38852170020300 is a wasteful number, since it uses less digits than its factorization.

38852170020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 38852170020300 in words is "thirty-eight trillion, eight hundred fifty-two billion, one hundred seventy million, twenty thousand, three hundred".