38698475008800 has 288 divisors, whose sum is σ = 127852536913920. Its totient is φ = 10165885977600.

The previous prime is 38698475008789. The next prime is 38698475008813. The reversal of 38698475008800 is 880057489683.

It is a super-3 number, since 3×38698475008800³ (a number of 42 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 46805391 + ... + 47625009.

It is an arithmetic number, because the mean of its divisors is an integer number (443932419840).

Almost surely, 2^{38698475008800} is an apocalyptic number.

38698475008800 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 38698475008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63926268456960).

38698475008800 is an abundant number, since it is smaller than the sum of its proper divisors (89154061905120).

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

38698475008800 is a wasteful number, since it uses less digits than its factorization.

38698475008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819936 (or 819923 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 38698475008800 in words is "thirty-eight trillion, six hundred ninety-eight billion, four hundred seventy-five million, eight thousand, eight hundred".